CBSE - Class 9 Mathematics Surface Area and Volumes Worksheet
EXERCISE 11.3
1.
The volume of a right circular cone is $9856$ cm$^3$. If the diameter of the base is $28$ cm, find (ii) slant height of the cone
2.
A heap of wheat is in the form of a cone whose diameter is $10.5$ m and height is $3$ m. Find its volume. The heap is to be covered by canvas to protect it from rain. Find the area of the canvas required.
3.
If the triangle ABC in the Question 7 above is revolved about the side $5$ cm, then find the volume of the solid so obtained. Find also the ratio of the volumes of the two solids obtained in Questions 7 and 8.
4.
Find the volume of the right circular cone with (i) radius $6$ cm, height $7$ cm
5.
If the volume of a right circular cone of height $9$ cm is $48 \pi$ cm$^3$, find the diameter of its base.
6.
Find the capacity in litres of a conical vessel with (i) radius $7$ cm, slant height $25$ cm
7.
A conical pit of top diameter $3.5$ m is $12$ m deep. What is its capacity in kilolitres?
8.
The height of a cone is $15$ cm. If its volume is $1570$ cm$^3$, find the radius of the base. (Use $\pi = 3.14$)
9.
A right triangle ABC with sides $5$ cm, $12$ cm and $13$ cm is revolved about the side $12$ cm. Find the volume of the solid so obtained.
10.
Find the volume of the right circular cone with (ii) radius $3.5$ cm, height $12$ cm
11.
Find the capacity in litres of a conical vessel with (ii) height $12$ cm, slant height $13$ cm
12.
The volume of a right circular cone is $9856$ cm$^3$. If the diameter of the base is $28$ cm, find (iii) curved surface area of the cone
13.
The volume of a right circular cone is $9856$ cm$^3$. If the diameter of the base is $28$ cm, find (i) height of the cone
