The volume of a cylinder is 288\picubic inches. The radius of the circular base is 4 inches. What is the height of the cylinder?

Question

The volume of a cylinder is 288\picubic inches. The radius of the circular base is 4 inches. What is the height of the cylinder?

Recall the formula V=v=\pi \ {2} h
a.9 inches
b.12 inches
c.18 inches
d.36 inches

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Madelyn 15 hours 2021-10-12T08:09:34+00:00 2 Answers 0

Answers ( )

    0
    2021-10-12T08:10:52+00:00

    Hello!

    The answer is:

    The correct option is:

    C. 18 inches.

    Why?

    To calculate the volume of a cylinder we need to use the formula:

    Volume=\pi *radius^{2}*height

    We are given a cylinder that has a volume of 288 π cubic inches and we know that its radius is equal to 4 inches, so, to calculate the height of the cylinder, we need to isolate it from the equation of volume, so, isolating we have:

    Volume=\pi radius^{2} height

    \frac{Volume}{\pi radius^{2} }=height

    Now, substituting the given information, we have:

    height=\frac{288\pi in^{3}}{\pi (4in)^{2} }=\frac{288\pi in^{3}}{16\pi in^{2} }=18in

    Hence, we have that the correct answer is:

    C. 18 inches.

    Have a nice day!

    0
    2021-10-12T08:11:29+00:00

    Answer:

    The correct answer is option c 18 inches

    Step-by-step explanation:

    Points to remember

    Volume of cylinder =  πr²h

    Where r – Radius of cylinder and

    h – Height of cylinder

    To find the height of cylinder

    Here volume = 288π cubic inches and radius = 4 inches

    Volume = πr²h

    288π = π* 4² * h

    288 = 16h

    h = 288/16 = 18 inches

    Therefore height of cylinder = 18 inches

    The correct answer is option c 18 inches

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