Question

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

Explanation:

Step1: Write 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.

Step2: Substitute the given values into the formula

We know \(V = 2512\space cm^{3}\), \(r = 8\space cm\), and \(\pi\approx3.14\). So, \(2512=3.14\times8^{2}\times h\).

Step3: Simplify the equation

First, calculate \(8^{2}=64\). Then the equation becomes \(2512 = 3.14\times64\times h\). And \(3.14\times64 = 200.96\). So, \(2512=200.96h\).

Step4: Solve for \(h\)

Divide both sides of the equation by \(200.96\): \(h=\frac{2512}{200.96}=12.5\space cm\).

Answer:

D. 12.5 cm