Embibe Experts Solutions for Chapter: Solids, Exercise 1: Kerala Board-2019

The perimeter of the base of a square pyramid is $96 \mathrm{cm}$ and its height is $16 \mathrm{cm}$. What is the length of a base edge?

The perimeter of the base of a square pyramid is $96 \mathrm{cm}$ and its height is $16 \mathrm{cm}$. What is the slant height?

The perimeter of the base of a square pyramid is $96 \mathrm{cm}$ and its height is $16 \mathrm{cm}$. Find the lateral surface area.

The picture shows the shape of a boiler. Total height of the boiler is $12$ metres and the diameter is $6$ meters, height of the cylindrical part is $6$ meters.

What is the height of the cone?

The picture shows the shape of a boiler. Total height of the boiler is $12$ metres and the diameter is $6$ meters, height of the cylindrical part is $6$ meters.

How many litres can the boiler hold ?

($1 m^3=1000$ litre)

Radius of a cylinder is equal to its height. If the radius is taken as ‘$r$’, the volume of the cylinder is $\mathrm{\pi }{r}^2\times r=\mathrm{\pi }{r}^3$. Like this find the volumes of the solids, with the following measures.

What is the ratio of the volumes of the cone, hemisphere, cylinder and the sphere?

Radius of a cylinder is equal to its height. If the radius is taken as ‘$r$’, the volume of the cylinder is $\mathrm{\pi }{r}^2\times r=\mathrm{\pi }{r}^3$. Like this find the volumes of the solids, with the following measures.

A solid metal sphere of radius $6 \mathrm{cm}$ is melted and recast into solid cones of radius $6 \mathrm{cm}$ and height $6 \mathrm{cm}$. Find the number of cones.

A sector of radius $12 centimetres$ and central angle $120°$ is rolled up into a cone. What is the central angle of the sector to be used to make a cone of base radius $\sqrt{2} centimetres$ and height $4 centimetres$?