Question

1. The radius and the height of a cylinder are in the
ratio 7:2. If the volume of the cylinder 8316 cm°,
find the total surface area of the cylinder.

Answer 1

Answer:

Let r,h be radius & hight of cylinder

⇒volume=πr

2

h,Total surface area (T.S.A)=2πr(h+r)

Given.

h

r

=

2

7

⇒h=

7

2r

Volume =πr

2

h=8316⇒πr

2

(

7

2r

)=8316

⇒r

3

=

2×22

8316×7×7

=

2×22

7

3

×1188

=7

3

×3

3

⇒r=7×3=21cm⇒h=

7

2

×21=6cm

T.S.A=2πr=(h+r)=2×

7

22

×21(6+21)=44×3×27

=3564cm

2