Question

9 a cylindrical tank has a volume of 2,512 cm³ and a radius of 8 cm. what is the height of the tank?
a. 15 cm
b. 12.5 cm
c. 18 cm
d. 10 cm

Explanation:

Step1: Recall the formula for the volume of a cylinder

The volume formula for a cylinder is \(V=\pi r^{2}h\), where \(V\) is the volume, \(r\) is the radius, and \(h\) is the height. We know \(V = 2512\space cm^{3}\) and \(r=8\space cm\), and we take \(\pi\approx3.14\).

Step2: Substitute the known values into the formula and solve for \(h\)

Substitute into \(V=\pi r^{2}h\):

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Answer:

b. \(12.5\space cm\)