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ladessa [460]
3 years ago
11

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

Mathematics
2 answers:
SCORPION-xisa [38]3 years ago
4 0

Answer:

  • A. 471.2 in²

Step-by-step explanation:

<u>Cylinder volume:</u>

  • V = πr²h

<u>Cylinder surface area:</u>

  • A = 2πr(r + h)

<u>Find h from the first equation:</u>

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

<u>Find surface area:</u>

  • A = 2π(5)(5 + 10) = 471.23 in²

Correct choice is A

lys-0071 [83]3 years ago
4 0

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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\textsf{Hey there!}

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