Embibe Experts Solutions for Exercise 1: ICSE-2018

The circumference of the base of a cylindrical vessel is $132 cm$ and its height is $25 cm$. Find the radius of the cylinder.

The following figure represents a solid consisting of a right circular cylinder with a hemisphere at one end and a cone at the other. Their common radius is $7 \mathrm{cm}$. The height of the cylinder and cone are each of $4 \mathrm{cm}$. Find the volume of the solid in cubic centimeter. [Take $\mathrm{\pi }=\frac{22}{7}$]

A solid metallic sphere of radius $6 \mathrm{cm}$ is melted and made into a solid cylinder of height $32 \mathrm{cm}$. Find the radius of the cylinder.

A solid metallic sphere of radius $6 cm$ is melted and made into a solid cylinder of height $32 cm$. Find the curved surface area of the cylinder. (Take $\pi =3.1$)

A hemispherical and a conical hole is scooped out of a solid wooden cylinder. Find the volume of the remaining solid where the measurements are as follows:

The height of the solid cylinder is $7 cm$, radius of each of hemisphere, cone and cylinder is $3 cm$. Height of cone is $3 cm.$

Give your answer correct to nearest whole number. Take $\pi =\frac{22}{7}$.

From a solid wooden cylinder of height $28 cm$ and diameter $6 cm$, two conical cavities are hollowed out. The diameters of the cones are also of $6 cm$ and height $10.5 cm$.

Taking $\mathrm{\pi }=\frac{22}{7}$, find the volume of the remaining solid in cubic centimeters.

The circumference of the base of a cylindrical vessel is $132 \mathrm{cm}$ and its height is $25 \mathrm{cm}$. Find the volume of cylinder in ${\mathrm{cm}}^3$. (Use $\mathrm{\pi }=\frac{22}{7}$)