Question

Find the height of a solid right circular cylinder whose total surface area is equal to 314cm and the diameter of the base is 8 cm (use 3.14 as pie)

Answer 1

We have,

TSA=660 cm

2

d=2r=14 cm

r=7 cm

We know that the total surface area of the cylinder

=2πrh+2πr

2

So,

2πrh+2πr

2

=660

2×

7

22

×7×h+2×

7

22

×7

2

=660

2×22×h+2×22×7=66044×h+44×7=660

44(h+7)=660

h+7=15

h=8 cm

Hence, this is the answer.