Question

solid cylinder has total surface area of 48 π cm^2 . Its total surface area is 8/5 times of its curved surface area. Find the radius of the cylinder.​

Answer 1

Answer:

3 cm

Step-by-step explanation:

here given,

total surface area of solid cylinder = 48π cm²

also , formula for

TSA = 2πr(h+r)

CSA = 2πrh

according to the question,

TSA = 8/5 CSA

i.e.

2πr(h+r) = 8/5( 2πrh)

48π = 16/5 πrh

48 = 16/5 rh

rh = 48×5/16

rh = 15

also TSA = 2πr(h+r) = 48π

r(h+r) = 24

rh +r² =24

on putting the value of rh = 15 from above we get,

15 + r² = 24

r² = 24-15 = 9

r = 3 cm

so, the radius if the cylinder is 3cm