Question

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

Answer 1

$\large \tt \red {answer}$

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

=

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