Question

If the lateral surface area of a cylinder is 94.2 square cm, and its height is 5 cm, then find its volume. (11 =3.14)​

Answer 1

$\sf \pmb{Answer :}$

Lateral surface area of a cylinder = 94.2

c

m

2

Height (h) = 5 cm

(i) Let r be the radius of the cylinder

∴

2

π

rh = 94.2

⇒

2

×

3.14

×

r

×

5 = 94.2

⇒

r

=

94.2

2

×

3.14

×

5

=

94.2

31.4

=

3

c

m

(ii) Volume of the cylinder =

π

r

2

h

= 3.14

×

3

×

3

×

5

c

m

3

=

141.3

c

m

3