Sarvesh K Verma Solutions for Chapter: Mensuration, Exercise 8: CAT - Test Questions Helping You Bell the CAT

If the surface area of two spheres are in the ratio $4 : 9$, then the ratio of their volumes will be_____.

If the side of a rhombus is $10 \mathrm{cm}$ and one diagonal is $16 \mathrm{cm}$, the area of the rhombus is

If a cone is cut into two parts by a horizontal plane passing through the mid point of its axis, the ratio of the volumes of the upper part and the frustum is .

A cone, a hemisphere and a cylinder stand on equal bases of radius $\mathrm{R}$ and have equal heights $\mathrm{H}$. Their whole surfaces, are in the ratio :

A sphere is placed inside a right circular cylinder so as to touch the top, base and lateral surface of the cylinder. If the radius of the sphere is $r$, then the volume of the cylinder is

A cylinder is circumscribed about a hemisphere and a cone is inscribed in the cylinder so as to have its vertex at the centre of one end and the other end as its base. The volumes of the cylinder, hemisphere and the cone are respectively in the ratio of :

The base of a pyramid is a rectangle $40 \mathrm{m}$ long and $20 \mathrm{m}$ wide. The slant height of the pyramid from the mid-point of the shorter side of the base to the apex is $29 \mathrm{m}$. What is the volume of pyramid?

A copper wire when bent in the form of a square, encloses an area of $121{ \mathrm{m}}^2$. If the same wire is bent to form a circle, the area enclosed by it would be :