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Surface Area & Volumes

Write True or False and justify your answer:

If a sphere is inscribed in a cube, then the ratio of the volume of the cube to the
volume of the sphere will be 6 : π.

06/11/2024

Mathematics

9th

Surface Area & Volumes

Write True or False and justify your answer:

A cone, a hemisphere and a cylinder stand on equal bases and have the same height. The ratio of their volumes is 1 : 2 : 3.

06/11/2024

Mathematics

9th

Surface Area & Volumes

Write True or False and justify your answer:

A cylinder and a right circular cone are having the same base and same height.
The volume of the cylinder is three times the volume of the cone.

06/11/2024

Mathematics

9th

Surface Area & Volumes

Write True or False and justify your answer:

The volume of the largest right circular cone that can be fitted in a cube whose
edge is 2r equals to the volume of a hemisphere of radius r.

06/11/2024

Mathematics

9th

Surface Area & Volumes

Write True or False and justify your answer:

If the radius of a cylinder is doubled and its curved surface area is not changed, the height must be halved.

06/11/2024

Mathematics

9th

Surface Area & Volumes

Write True or False and justify your answer:

In a right circular cone, height, radius and slant height do not always be sides of a
right triangle.

06/11/2024

Mathematics

9th

Surface Area & Volumes

Write True or False and justify your answer:

If the radius of a right circular cone is halved and height is doubled, the volume will remain unchanged.

06/11/2024

Mathematics

9th

Surface Area & Volumes

Write True or False and justify your answer:

The volume of a sphere is equal to two-third of the volume of a cylinder whose height and diameter are equal to the diameter of the sphere.

06/11/2024

Mathematics

9th

Surface Area & Volumes

The radius of a hemispherical balloon increases from 6 cm to 12 cm as air is being pumped into it. The ratios of the surface areas of the balloon in the two cases is

(A) 1 : 4 (B) 1 : 3 (C) 2 : 3 (D) 2 : 1

06/11/2024

Mathematics

9th

Surface Area & Volumes

The length of the longest pole that can be put in a room of dimensions (10 m × 10 m × 5m) is

(A) 15 m (B) 16 m (C) 10 m (D) 12 m

06/11/2024

Mathematics

9th