Given: - Total volume of solid = 3 × Volume of cone, - Height of cone = h. Volumes - Volume of cone = (1/3)πr²h, - Volume of cylinder = πr²H (H = height of cylinder), - Total volume = Volume of cone + Volume of cylinder. Equation for total volume Total volume = 3 × Volume of cone: (1/3)πr²h + πr²H =Read more
Given:
– Total volume of solid = 3 × Volume of cone,
– Height of cone = h.
Volumes
– Volume of cone = (1/3)πr²h,
– Volume of cylinder = πr²H (H = height of cylinder),
– Total volume = Volume of cone + Volume of cylinder.
Equation for total volume
Total volume = 3 × Volume of cone:
(1/3)πr²h + πr²H = 3 × (1/3)πr²h.
Given: - Height of original cone = H = 30 cm, - Volume of smaller cone = (1/27) × Volume of original cone. For similar cones: (h/H)³ = 1/27 ⇒ h/H = 1/3. Height of smaller cone: h = (1/3) × 30 = 10 cm. Height above the base: H - h = 30 - 10 = 20 cm. Final Answer: c) 20 cm. For more please visit here:Read more
Given:
– Height of original cone = H = 30 cm,
– Volume of smaller cone = (1/27) × Volume of original cone.
Given: - Height of original cone = H = 30 cm, - Volume of smaller cone = (1/27) × Volume of original cone. For similar cones: (h/H)³ = 1/27 ⇒ h/H = 1/3. Height of smaller cone: h = (1/3) × 30 = 10 cm. Height above the base: H - h = 30 - 10 = 20 cm. Final Answer: c) 20 cm. This question related to ChRead more
Given:
– Height of original cone = H = 30 cm,
– Volume of smaller cone = (1/27) × Volume of original cone.
For similar cones:
(h/H)³ = 1/27 ⇒ h/H = 1/3.
Height of smaller cone:
h = (1/3) × 30 = 10 cm.
Height above the base:
H – h = 30 – 10 = 20 cm.
Final Answer: c) 20 cm.
This question related to Chapter 12 Mathematics Class 10th NCERT. From the Chapter 12. Surface Areas and Volumes. Give answer according to your understanding.
Class 6 Mathematics Chapter 5 MCQ assesses understanding of basic geometric concepts like angles, shapes, and measurements, enhancing spatial reasoning, foundational math skills, and preparation for advanced geometry in higher classes. For Practice MCQ visit here: https://www.tiwariacademy.in/ncert-Read more
Class 6 Mathematics Chapter 5 MCQ assesses understanding of basic geometric concepts like angles, shapes, and measurements, enhancing spatial reasoning, foundational math skills, and preparation for advanced geometry in higher classes.
Class 6 Mathematics Chapter 2 MCQ evaluates knowledge of whole numbers, their properties, and operations, strengthening numerical skills, logical thinking, and foundational math concepts essential for advanced arithmetic and problem-solving in higher classes. For Practice MCQ visit here: https://wwwRead more
Class 6 Mathematics Chapter 2 MCQ evaluates knowledge of whole numbers, their properties, and operations, strengthening numerical skills, logical thinking, and foundational math concepts essential for advanced arithmetic and problem-solving in higher classes.
A solid consists of a circular cylinder with an exact fitting right circular cone placed at the top. The height of the cone is h. If the total volume of the solid is 3 times the volume of the cone, then the height of the circular cylinder is
Given: - Total volume of solid = 3 × Volume of cone, - Height of cone = h. Volumes - Volume of cone = (1/3)πr²h, - Volume of cylinder = πr²H (H = height of cylinder), - Total volume = Volume of cone + Volume of cylinder. Equation for total volume Total volume = 3 × Volume of cone: (1/3)πr²h + πr²H =Read more
Given:
– Total volume of solid = 3 × Volume of cone,
– Height of cone = h.
Volumes
– Volume of cone = (1/3)πr²h,
– Volume of cylinder = πr²H (H = height of cylinder),
– Total volume = Volume of cone + Volume of cylinder.
Equation for total volume
Total volume = 3 × Volume of cone:
(1/3)πr²h + πr²H = 3 × (1/3)πr²h.
Simplify:
πr²H = (3/3)πr²h – (1/3)πr²h,
πr²H = (2/3)πr²h.
Cancel πr²:
H = (2/3)h.
For more please visit here:
See lesshttps://www.tiwariacademy.in/ncert-solutions/class-10/maths/
The height of a cone is 30 cm. A small cone is cut off at the top at the top by a plane parallel to the base. If its volume be 1/27of the volume of the given cone, then the height above the base at which the section has been made, is
Given: - Height of original cone = H = 30 cm, - Volume of smaller cone = (1/27) × Volume of original cone. For similar cones: (h/H)³ = 1/27 ⇒ h/H = 1/3. Height of smaller cone: h = (1/3) × 30 = 10 cm. Height above the base: H - h = 30 - 10 = 20 cm. Final Answer: c) 20 cm. For more please visit here:Read more
Given:
– Height of original cone = H = 30 cm,
– Volume of smaller cone = (1/27) × Volume of original cone.
For similar cones:
(h/H)³ = 1/27 ⇒ h/H = 1/3.
Height of smaller cone:
h = (1/3) × 30 = 10 cm.
Height above the base:
H – h = 30 – 10 = 20 cm.
Final Answer: c) 20 cm.
For more please visit here:
See lesshttps://www.tiwariacademy.in/ncert-solutions/class-10/maths/
The height of a cone is 30 cm. A small cone is cut off at the top at the top by a plane parallel to the base. If its volume be 1/27of the volume of the given cone, then the height above the base at which the section has been made, is
Given: - Height of original cone = H = 30 cm, - Volume of smaller cone = (1/27) × Volume of original cone. For similar cones: (h/H)³ = 1/27 ⇒ h/H = 1/3. Height of smaller cone: h = (1/3) × 30 = 10 cm. Height above the base: H - h = 30 - 10 = 20 cm. Final Answer: c) 20 cm. This question related to ChRead more
Given:
– Height of original cone = H = 30 cm,
– Volume of smaller cone = (1/27) × Volume of original cone.
For similar cones:
(h/H)³ = 1/27 ⇒ h/H = 1/3.
Height of smaller cone:
h = (1/3) × 30 = 10 cm.
Height above the base:
H – h = 30 – 10 = 20 cm.
Final Answer: c) 20 cm.
This question related to Chapter 12 Mathematics Class 10th NCERT. From the Chapter 12. Surface Areas and Volumes. Give answer according to your understanding.
For more please visit here:
See lesshttps://www.tiwariacademy.in/ncert-solutions/class-10/maths/
What is the importance of Class 6 Mathematics Chapter 5 MCQ?
Class 6 Mathematics Chapter 5 MCQ assesses understanding of basic geometric concepts like angles, shapes, and measurements, enhancing spatial reasoning, foundational math skills, and preparation for advanced geometry in higher classes. For Practice MCQ visit here: https://www.tiwariacademy.in/ncert-Read more
Class 6 Mathematics Chapter 5 MCQ assesses understanding of basic geometric concepts like angles, shapes, and measurements, enhancing spatial reasoning, foundational math skills, and preparation for advanced geometry in higher classes.
For Practice MCQ visit here:
See lesshttps://www.tiwariacademy.in/ncert-solutions-class-6-maths-chapter-1/
What is the importance of Class 6 Mathematics Chapter 2 MCQ?
Class 6 Mathematics Chapter 2 MCQ evaluates knowledge of whole numbers, their properties, and operations, strengthening numerical skills, logical thinking, and foundational math concepts essential for advanced arithmetic and problem-solving in higher classes. For Practice MCQ visit here: https://wwwRead more
Class 6 Mathematics Chapter 2 MCQ evaluates knowledge of whole numbers, their properties, and operations, strengthening numerical skills, logical thinking, and foundational math concepts essential for advanced arithmetic and problem-solving in higher classes.
For Practice MCQ visit here:
See lesshttps://www.tiwariacademy.in/ncert-solutions-class-6-maths-chapter-2/