Question

Hat is the surface area of a cylinder that has a volume if 785.4in3 and a radius of 5 in?

A 471.2in2
B 10in2
C 150in2
D 4712.3in2

Answer 1

volume of cylinder=πr²h

785.4=22/7×5²×h

h=785.4×7/(22×25)=9.99=10in

Explanation:

surface area of cylinder =2πr(r+h)=2π×5(5+10)=

471.238898038in²

A 471.2in2 is your answer.

Answer 2

• A. 471.2 in²

Explanation:

Cylinder volume:

• V = πr²h

Cylinder surface area:

• A = 2πr(r + h)

Find h from the first equation:

• h = V/(πr²) = 785.4/(3.14*5²) = 10 in

Find surface area:

• A = 2π(5)(5 + 10) = 471.23 in²

Correct choice is A