Mahabir Singh Solutions for Chapter: Surface Areas and Volumes, Exercise 3: ACHIEVERS SECTION (HOTS)

The decorative block shown in the figure is made of two solids, a cube and a hemisphere. The base of the block is a cube with edge $5 \mathrm{cm}$, and the hemisphere fixed on the top has a diameter of $4.2 \mathrm{cm}$. The total surface area of the block is 

A tent is made in the form of a frustum of a cone surmounted by another cone. The diameter of the base and the top of the frustum are $20 \mathrm{m}$ and $6 \mathrm{m}$ respectively and the height is $24 \mathrm{m}$. If the height of the tent is $28 \mathrm{m}$ and the radius of the conical part is equal to the radius of the top of the frustum, find the quantity of canvas required.

The interior of a building is in the form of cylinder of diameter $4.3 \mathrm{m}$ and height $3.8 \mathrm{m}$, surmounted by a cone whose vertical angle is a right angle. Find the volume and curved surface area of the building respectively. (Use $\pi =3.14$).