Explanation: The height (h) of a cone can be calculated using the Pythagorean theorem, as the slant height (l), radius (r), and height form a right triangle. The relationship is given by: l² = r² + h², where: - l is the slant height, - r is the radius of the base, - h is the height of the cone. FromRead more
Explanation:
The height (h) of a cone can be calculated using the Pythagorean theorem, as the slant height (l), radius (r), and height form a right triangle. The relationship is given by:
l² = r² + h²,
where:
– l is the slant height,
– r is the radius of the base,
– h is the height of the cone.
From the problem:
– The slant height (l) is 26 cm,
– The diameter of the base is 20 cm, so the radius (r) is:
r = Diameter / 2 = 20 / 2 = 10 cm.
Substitute the values of l = 26 cm and r = 10 cm into the formula:
l² = r² + h².
Take the square root of both sides:
h = √576,
h = 24 cm.
Thus, the height of the cone is 24 cm, which corresponds to option a) 24.
This question related to Chapter 11 Mathematics Class 9th NCERT. From the Chapter 11 Surface area and Volumes. Probability. Give answer according to your understanding.
The importance of Class 9 Mathematics Chapter 2 (Polynomials) MCQs lies in their ability to reinforce a student's understanding of key concepts such as types of polynomials, degrees, coefficients, zeroes, and operations like addition, subtraction, multiplication, and division of polynomials. These MRead more
The importance of Class 9 Mathematics Chapter 2 (Polynomials) MCQs lies in their ability to reinforce a student’s understanding of key concepts such as types of polynomials, degrees, coefficients, zeroes, and operations like addition, subtraction, multiplication, and division of polynomials. These MCQs help students assess their grasp of fundamental theorems like the Remainder Theorem and Factor Theorem while improving problem-solving speed and accuracy. Practicing these questions enhances algebraic manipulation skills and prepares students for exams by familiarizing them with various question patterns. Mastering this chapter through MCQs also builds a strong foundation for advanced algebraic topics in higher classes, making it crucial for both academic success and conceptual clarity.
The importance of Class 9 Mathematics Chapter 1 (Number Systems) MCQs lies in their ability to strengthen a student's understanding of fundamental concepts like rational and irrational numbers, real numbers, decimal expansions, and operations involving them. These MCQs help students assess their knoRead more
The importance of Class 9 Mathematics Chapter 1 (Number Systems) MCQs lies in their ability to strengthen a student’s understanding of fundamental concepts like rational and irrational numbers, real numbers, decimal expansions, and operations involving them. These MCQs help students assess their knowledge of number representation on the number line, laws of exponents, and the classification of numbers. Practicing these questions enhances numerical reasoning, logical thinking, and problem-solving skills while preparing students for exams by improving speed and accuracy. Mastering this chapter through MCQs builds a strong foundation for advanced mathematical topics like algebra, geometry, and calculus, making it essential for both academic success and a deeper understanding of mathematics.
The importance of Class 9 Mathematics Chapter 12 (Heron’s Formula) MCQs lies in their ability to reinforce a student's understanding of calculating the area of triangles and quadrilaterals using Heron’s Formula. These MCQs help students assess their ability to apply the formula accurately, especiallRead more
The importance of Class 9 Mathematics Chapter 12 (Heron’s Formula) MCQs lies in their ability to reinforce a student’s understanding of calculating the area of triangles and quadrilaterals using Heron’s Formula. These MCQs help students assess their ability to apply the formula accurately, especially when dealing with the lengths of sides and semi-perimeters. Practicing these questions enhances problem-solving skills, logical reasoning, and the ability to handle real-life applications involving area calculations. Additionally, MCQs improve exam preparedness by familiarizing students with various question patterns while building a strong foundation for geometry and mensuration topics in higher classes. Mastering this chapter ensures students can confidently tackle complex problems requiring precision and conceptual clarity.
The importance of Class 9 Mathematics Chapter 10 (Circles) MCQs lies in their ability to reinforce a student's understanding of key concepts such as the properties of circles, chords, arcs, angles subtended by chords, and cyclic quadrilaterals. These MCQs help students assess their knowledge of impoRead more
The importance of Class 9 Mathematics Chapter 10 (Circles) MCQs lies in their ability to reinforce a student’s understanding of key concepts such as the properties of circles, chords, arcs, angles subtended by chords, and cyclic quadrilaterals. These MCQs help students assess their knowledge of important theorems related to circles and their applications in solving geometric problems. Practicing these questions enhances logical reasoning, visualization skills, and the ability to apply circle-related concepts effectively. Additionally, MCQs prepare students for exams by improving speed, accuracy, and familiarity with question patterns. Mastering this chapter through MCQs also builds a strong foundation for advanced geometry topics in higher classes, making it crucial for both academic success and conceptual clarity.
The slant height of a cone is 26 cm and base diameter is 20 cm. Its height is
Explanation: The height (h) of a cone can be calculated using the Pythagorean theorem, as the slant height (l), radius (r), and height form a right triangle. The relationship is given by: l² = r² + h², where: - l is the slant height, - r is the radius of the base, - h is the height of the cone. FromRead more
Explanation:
The height (h) of a cone can be calculated using the Pythagorean theorem, as the slant height (l), radius (r), and height form a right triangle. The relationship is given by:
l² = r² + h²,
where:
– l is the slant height,
– r is the radius of the base,
– h is the height of the cone.
From the problem:
– The slant height (l) is 26 cm,
– The diameter of the base is 20 cm, so the radius (r) is:
r = Diameter / 2 = 20 / 2 = 10 cm.
Substitute the values of l = 26 cm and r = 10 cm into the formula:
l² = r² + h².
Rearrange to solve for h²:
h² = l² – r².
Substitute the values:
h² = 26² – 10²,
h² = 676 – 100,
h² = 576.
Take the square root of both sides:
h = √576,
h = 24 cm.
Thus, the height of the cone is 24 cm, which corresponds to option a) 24.
This question related to Chapter 11 Mathematics Class 9th NCERT. From the Chapter 11 Surface area and Volumes. Probability. Give answer according to your understanding.
For more please visit here:
See lesshttps://www.tiwariacademy.in/ncert-solutions/class-9/maths/
What is the importance of Class 9 Mathematics Chapter 2 MCQ?
The importance of Class 9 Mathematics Chapter 2 (Polynomials) MCQs lies in their ability to reinforce a student's understanding of key concepts such as types of polynomials, degrees, coefficients, zeroes, and operations like addition, subtraction, multiplication, and division of polynomials. These MRead more
The importance of Class 9 Mathematics Chapter 2 (Polynomials) MCQs lies in their ability to reinforce a student’s understanding of key concepts such as types of polynomials, degrees, coefficients, zeroes, and operations like addition, subtraction, multiplication, and division of polynomials. These MCQs help students assess their grasp of fundamental theorems like the Remainder Theorem and Factor Theorem while improving problem-solving speed and accuracy. Practicing these questions enhances algebraic manipulation skills and prepares students for exams by familiarizing them with various question patterns. Mastering this chapter through MCQs also builds a strong foundation for advanced algebraic topics in higher classes, making it crucial for both academic success and conceptual clarity.
For more please visit here:
See lesshttps://www.tiwariacademy.in/ncert-solutions/class-9/maths/
What is the importance of Class 9 Mathematics Chapter 1 MCQ?
The importance of Class 9 Mathematics Chapter 1 (Number Systems) MCQs lies in their ability to strengthen a student's understanding of fundamental concepts like rational and irrational numbers, real numbers, decimal expansions, and operations involving them. These MCQs help students assess their knoRead more
The importance of Class 9 Mathematics Chapter 1 (Number Systems) MCQs lies in their ability to strengthen a student’s understanding of fundamental concepts like rational and irrational numbers, real numbers, decimal expansions, and operations involving them. These MCQs help students assess their knowledge of number representation on the number line, laws of exponents, and the classification of numbers. Practicing these questions enhances numerical reasoning, logical thinking, and problem-solving skills while preparing students for exams by improving speed and accuracy. Mastering this chapter through MCQs builds a strong foundation for advanced mathematical topics like algebra, geometry, and calculus, making it essential for both academic success and a deeper understanding of mathematics.
For more please visit here:
See lesshttps://www.tiwariacademy.in/ncert-solutions/class-9/maths/
What is the importance of Class 9 Mathematics Chapter 12 MCQ?
The importance of Class 9 Mathematics Chapter 12 (Heron’s Formula) MCQs lies in their ability to reinforce a student's understanding of calculating the area of triangles and quadrilaterals using Heron’s Formula. These MCQs help students assess their ability to apply the formula accurately, especiallRead more
The importance of Class 9 Mathematics Chapter 12 (Heron’s Formula) MCQs lies in their ability to reinforce a student’s understanding of calculating the area of triangles and quadrilaterals using Heron’s Formula. These MCQs help students assess their ability to apply the formula accurately, especially when dealing with the lengths of sides and semi-perimeters. Practicing these questions enhances problem-solving skills, logical reasoning, and the ability to handle real-life applications involving area calculations. Additionally, MCQs improve exam preparedness by familiarizing students with various question patterns while building a strong foundation for geometry and mensuration topics in higher classes. Mastering this chapter ensures students can confidently tackle complex problems requiring precision and conceptual clarity.
For more please visit here:
See lesshttps://www.tiwariacademy.in/ncert-solutions/class-9/maths/
What is the importance of Class 9 Mathematics Chapter 10 MCQ?
The importance of Class 9 Mathematics Chapter 10 (Circles) MCQs lies in their ability to reinforce a student's understanding of key concepts such as the properties of circles, chords, arcs, angles subtended by chords, and cyclic quadrilaterals. These MCQs help students assess their knowledge of impoRead more
The importance of Class 9 Mathematics Chapter 10 (Circles) MCQs lies in their ability to reinforce a student’s understanding of key concepts such as the properties of circles, chords, arcs, angles subtended by chords, and cyclic quadrilaterals. These MCQs help students assess their knowledge of important theorems related to circles and their applications in solving geometric problems. Practicing these questions enhances logical reasoning, visualization skills, and the ability to apply circle-related concepts effectively. Additionally, MCQs prepare students for exams by improving speed, accuracy, and familiarity with question patterns. Mastering this chapter through MCQs also builds a strong foundation for advanced geometry topics in higher classes, making it crucial for both academic success and conceptual clarity.
For more please visit here:
See lesshttps://www.tiwariacademy.in/ncert-solutions/class-9/maths/