R. D. Sharma Solutions for Chapter: Surface Areas and Volumes, Exercise 6: MULTIPLE CHOICE QUESTIONS (MCQs)

A right circular cylinder of radius $\mathrm{r}$ and height $h \left(h=2r\right)$ just encloses a sphere of diameter

The number of solid spheres, each of diameter $6 \mathrm{cm}$ that can be made by melting a solid metal cylinder of height $45 \mathrm{cm}$ and diameter $4 \mathrm{cm}$ is

Volumes of two spheres are in the ratio $64:27$. The ratio of their surface areas is

A right circular cylinder of radius $\mathrm{r}$ and height $h \left(h>2r\right)$ just encloses a sphere of diameter.

In a right circular cone, the cross-section made by a plane parallel to the base is a

If two solid-hemispheres of same base radius $r$ are joined together along their bases, then curved surface area of this new solid is

The diameters of two circular ends of the bucket are $44 \mathrm{cm}$ and $24 \mathrm{cm}$. The height of the bucket is $35 \mathrm{cm}$. $(\mathrm{Take} \mathrm{\pi }=22/7)$ The capacity of the bucket is

A spherical ball of radius $\mathrm{r}$ is melted to make $8$ new identical balls each of radius $r_1$. Then $r:r_1=$