CBSE - Class 9 Mathematics Surface Area and Volumes Worksheet
1.
The height of a cone is 16 cm and its base radius is 12 cm. Find the curved surface area.
a.
563.6 sq. cm
b.
753.6 sq. cm
c.
253.6 sq. cm
d.
153.6 sq. cm
2.
The slant height of a cone is 20 cm and its base diameter is 24 cm. Find its height.
a.
8 cm
b.
10 cm
c.
24 cm
d.
16 cm
3.
Find the radius of a hemisphere whose curved surface area is 77 sq. cm.
a.
7 cm
b.
3.5 cm
c.
14 cm
d.
None of these
4.
What length of tarpaulin $3$ m wide will be required to make conical tent of height $8$ m and base radius $6$ m? Assume that the extra length of material that will be required for stitching margins and wastage in cutting is approximately $20$ cm (Use $\pi = 3.14$).
5.
Find the volume of a sphere whose surface area is $154$ cm$^2$.
6.
If the radius of a sphere is doubled, what is the ratio of the volume of the first sphere to that of second sphere?
a.
1:2
b.
1:4
c.
1:8
d.
1:3
7.
Find the amount of water displaced by a solid spherical ball of diameter (i) $28$ cm
8.
Diameter of the base of a cone is 10.5 cm and its slant height is 10 cm. Find its curved surface area.
9.
Fill in the blanks: Two cubes have their volumes in the ratio 1:27. The ratio of their surface areas are _______.
a.
1:3
b.
1:9
c.
1:27
d.
None of these
10.
Find the volume of the right circular cone with (i) radius $6$ cm, height $7$ cm
11.
Find the amount of water displaced by a solid spherical ball of diameter (ii) $0.21$ m
12.
Fill in the blanks: The length of the longest pole that can be put in a room of dimensions (10 m × 10 m × 5m) is _________.
a.
12 m
b.
5 m
c.
10 m
d.
15 m
13.
Find the total surface area of a cone, if its slant height is 21 m and diameter of its base is 24 m.
14.
A conical tent is $10$ m high and the radius of its base is $24$ m. Find (ii) cost of the canvas required to make the tent, if the cost of $1$ m$^2$ canvas is ₹ 70.
15.
Find the lateral surface area of a cube of edge 10 m.
a.
40 sq. m
b.
20 sq. m
c.
80 sq. m
d.
160 sq. m
16.
A hemispherical tank is made up of an iron sheet $1$ cm thick. If the inner radius is $1$ m, then find the volume of the iron used to make the tank.
17.
Find the volume of the right circular cone with (ii) radius $3.5$ cm, height $12$ cm
18.
State True/False: If the edge of cube is halved then the volume will be 8 times of previous value.
a.
true
b.
false
19.
Fill in the blanks: The surface area of solid hemisphere is with radius r is ________.
a.
4? r X r
b.
3 ?r X r
c.
2? r X r
d.
6? r X r
20.
How many cubes of 10 cm edge can be put in a cubical box of 1 m edge?
