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The edge of a cube measures r cm. The largest possible right circular cylinder is cut out of the cube. What do you think is the volume of the cylinder (in cm³)?
For the largest right circular cylinder cut out of a cube of edge r cm, the circular base must fit tightly within the square face of side r cm, giving diameter r cm and radius r/2 cm. The height of the cylinder equals the cube edge, h = r cm. Thus, volume V = π(radius)²(height) = π(r/2)²(r) = (πr³)/Read more
For the largest right circular cylinder cut out of a cube of edge r cm, the circular base must fit tightly within the square face of side r cm, giving diameter r cm and radius r/2 cm. The height of the cylinder equals the cube edge, h = r cm. Thus, volume V = π(radius)²(height) = π(r/2)²(r) = (πr³)/4 cm³.
For more NCERT Solutions of Class 9 Maths Ganita Manjari Part 2 Chapter 14 Math of Space: Surface Area and Volume Question Answer (2026-27)
https://www.tiwariacademy.com/ncert-solutions/class-9/maths/ganita-manjari-chapter-14/
See lessA linear equation in two variables has only one solution.
This statement is False. A linear equation in two variables of the form ax + by + c = 0 has infinitely many solutions. Geometrically, its graph is a continuous straight line comprising infinite points. Since every point lying on this line represents a valid ordered pair (x, y) that satisfies the relRead more
This statement is False. A linear equation in two variables of the form ax + by + c = 0 has infinitely many solutions. Geometrically, its graph is a continuous straight line comprising infinite points. Since every point lying on this line represents a valid ordered pair (x, y) that satisfies the relation, an infinite number of solutions exist for any single linear equation.
For more NCERT Solutions of Class 9 Maths Ganita Manjari Part 2 Chapter 13 Two Variables, One Line Question Answer (2026-27)
https://www.tiwariacademy.com/ncert-solutions/class-9/maths/ganita-manjari-chapter-13/
See lessThe graph of a linear equation in two variables always passes through the origin.
This statement is False. A linear equation ax + by + c = 0 passes through the origin (0, 0) if and only if the constant term c is zero. For example, in the linear equation 2x + 3y = 6, substituting x = 0 and y = 0 gives 0 ≠ 6, demonstrating that lines containing non-zero constant terms cannot intersRead more
This statement is False. A linear equation ax + by + c = 0 passes through the origin (0, 0) if and only if the constant term c is zero. For example, in the linear equation 2x + 3y = 6, substituting x = 0 and y = 0 gives 0 ≠ 6, demonstrating that lines containing non-zero constant terms cannot intersect or pass through the origin.
For more NCERT Solutions of Class 9 Maths Ganita Manjari Part 2 Chapter 13 Two Variables, One Line Question Answer (2026-27)
https://www.tiwariacademy.com/ncert-solutions/class-9/maths/ganita-manjari-chapter-13/
See lessA linear equation in two variables can never have rational solutions.
This statement is False. A linear equation in two variables with rational coefficients can have infinitely many rational solutions. Whenever any rational number is chosen for x, solving the equation algebraically yields a corresponding rational value for y. For example, in 2x + y = 3, selecting x =Read more
This statement is False. A linear equation in two variables with rational coefficients can have infinitely many rational solutions. Whenever any rational number is chosen for x, solving the equation algebraically yields a corresponding rational value for y. For example, in 2x + y = 3, selecting x = 1/2 produces y = 2, which forms a perfectly valid rational solution pair.
For more NCERT Solutions of Class 9 Maths Ganita Manjari Part 2 Chapter 13 Two Variables, One Line Question Answer (2026-27)
https://www.tiwariacademy.com/ncert-solutions/class-9/maths/ganita-manjari-chapter-13/
See lessx = 3 is a valid linear equation in two variables.
This statement is True. Any equation that can be rewritten in the standard form ax + by + c = 0, where a and b are not both zero, is a linear equation in two variables. The equation x = 3 can be represented as 1x + 0y − 3 = 0 with a = 1, b = 0 and c = −3, making it entirely valid. For more NCRead more
This statement is True. Any equation that can be rewritten in the standard form ax + by + c = 0, where a and b are not both zero, is a linear equation in two variables. The equation x = 3 can be represented as 1x + 0y − 3 = 0 with a = 1, b = 0 and c = −3, making it entirely valid.
For more NCERT Solutions of Class 9 Maths Ganita Manjari Part 2 Chapter 13 Two Variables, One Line Question Answer (2026-27)
https://www.tiwariacademy.com/ncert-solutions/class-9/maths/ganita-manjari-chapter-13/
See less