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5 March, 18:02

The height of a right cylinder is 3 times the radius of the base. The volume of the cylinder is 242

What is the height of the cylinder?

2 units

4 units

6 units

8 units

+4
Answers (1)
  1. 5 March, 18:15
    0
    D

    Step-by-step explanation:

    Formula

    Volume = pi*r^2*h

    Givens

    r = x

    h = 3x

    Volume = 242

    Solution

    242 = pi * x^2 * 3x

    242 = 3.14 * 3x^3 Divide by pi

    242/3.14 = 3.14 * 3x^3 / 3.14 Do the division

    77 = 3x^3 Divide by 3

    77/3 = 3x^3 / 3

    25.69 = x^3 Take the cube root of both sides.

    2.95 = x

    The height of the cylinder is 3 times that of the radius of the circle (x)

    The answer is 8.85. I suppose the closest answer is 8.
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