M L Aggarwal Solutions for Exercise 4: Exercise 17.4

A circus tent is in the shape of cylinder surmounted by a cone. The diameter of the cylindrical portion is $24 \mathrm{m}$ and its height is $11 \mathrm{m}$. If the vertex of the cone is $16 \mathrm{m}$ above the ground, find the area of the canvas used to make a tent?

An exhibition tent is in the form of a cylinder surmounted by a cone. The height of the tent above the ground is $85 \mathrm{m}$ and the height of the cylindrical part is $50 \mathrm{m}$. If the diameter of the base is $168 \mathrm{m}$, find the quantity of canvas required to make the tent. Allow $20\%$ extra for folds and stitching. Give your answer nearest ${\mathrm{m}}^2$.

A rocket is in the form of a right circular cylinder closed at the lower end and surmounted by a cone with the same radius as that of the cylinder. The diameter and the height of the cylinder are $6 \mathrm{cm}$ and $12 \mathrm{cm}$ respectively. If the slant height of the conical porticn is $5 \mathrm{cm}$, find the total surface area and the volume of the rocket.
(Use $\pi =3·14$)

The adjoining 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 the cone are each of $4 \mathrm{cm}$. Find the volume of the solid.

A solid is in the form of a right circular cylinder with a hemisphere at one end and a cone at the other end. Their common diameter is $3.5 \mathrm{cm}$ and the height of the cylindrical and conical portions are $10 \mathrm{cm}$ and $6 \mathrm{cm}$ respectively. Find the volume of the solid. (Take $\pi =3·14$)

A toy is in the shape of a right circular cylinder with a hemisphere on one end and a cone on the other. The height and radius of the cylindrical part are $13 \mathrm{cm}$ and $5 \mathrm{cm}$ respectively. The radii of the hemispherical and conical parts are the same as that of the cylindrical part. Calculate the surface area of the toy if the height of the conical part is $12 \mathrm{cm}$.

The adjoining figure shows a model of a solid consisting of a cylinder surmounted by a hemisphere at one end. If the model is drawn to a scale of $1:200$, find the total surface area of the solid in $\pi {\mathrm{m}}^2$.

The adjoining figure shows a model of a solid consisting of a cylinder surmounted by a hemisphere at one end. If the model is drawn to a scale of $1:200$, find the volume of the solid in $\pi$ litres.