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

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

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Ngọc Hoa 3 years 2021-08-07T22:02:03+00:00 2 Answers 19 views 0

Answers ( )

  1. thachthao
    0
    2021-08-07T22:03:11+00:00
    Reply

    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

  2. vankhanh
    0
    2021-08-07T22:03:26+00:00
    Reply

    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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