Question

the total surface area of a solid cylinder is 48 pi cm^2 . The total surface area is 8/5 times of its curved suface area. find its radius.​

Answer 1

Answer:

r= 3 centimetres

Step-by-step explanation:

A solid cylinder has total surface area of 48π cm

2

Its curved surface area is

8

5

times of its total surface area. Find the radius and the height of the cylinder.

Easy

Solution

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Let r and h be the radius and height of the cylinder.

∴ Total surface area =48πcm

2

2πrh+2πr

2

=48π

2π(rh+r

2

)=48π

⇒rh+r

2

=

2π

48π

⇒rh+r

2

=24 …………(i)

and curved surface area =

8

5

total surface area

⇒2πrh=

8

5

.48π

⇒2πrh=30π

⇒rh=

2π

30π

⇒rh=15 …………….(ii)

From (i),

15+r

2

=24

⇒r

2

=24−15

⇒r

2

=9

⇒r=3cm