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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

Respuesta :

mhanifa

Answer:

  • A. 471.2 in²

Step-by-step 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

Answer:

volume of cylinder=πr²h

785.4=22/7×5²×h

h=785.4×7/(22×25)=9.99=10in

Step-by-step explanation:

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

471.238898038in²

A 471.2in2 is your answer.

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