Embibe Experts Solutions for Chapter: Surface Areas and Volumes, Exercise 1: Karnataka Board-2019

Write the formula used to find the total surface area of a right circular cylinder.

A solid is in the form of a cone mounted on a right circular cylinder, both having same radii as shown in the figure. The radius of the base and height of the cone are $7 \mathrm{cm}$ and $9 \mathrm{cm}$ respectively. If the total height of the solid is $30 \mathrm{cm}$, find the volume of the solid.

The slant height of the frustum of a cone is $4 \mathrm{cm}$ and the perimeter of its circular bases are $18 \mathrm{cm}$ and $6 \mathrm{cm}$ respectively. Find the curved surface area of the frustum.

The base radius and height of a right circular cylinder and a right circular cone are equal and, if the volume of the cylinder is $360 {\mathrm{cm}}^3$, then the volume of a cone is

The surface area of a sphere of radius $7 \mathrm{cm}$ is

Write the formula to find the total surface area of a right-circular cone whose circular base radius is $‘\mathrm{r}’$ and slant height is $‘\mathrm{l}’.$

A medicine capsule is in the shape of cylinder with hemispheres stuck to each of its ends. The length of entire capsule is $14 \mathrm{mm}$ and the diameter of the capsule is $5 \mathrm{mm}$. Find its surface area.

A right circular cone of height $30 \mathrm{cm}$ is cut and removed by a plane parallel to its base from the vertex. If the volume of smaller cone obtained is $\frac{1}{27}$ of the volume of the given cone. Calculate the height of the remaining part of the cone.