Question

question 6 of 10
what is the volume of the cylinder below?
a. 784π units³
b. 112π units³
c. 196π units³
d. 98π units³

Explanation:

Step1: Recall the formula for the volume of a cylinder

The formula for the volume of a cylinder is \(V=\pi r^{2}h\), where \(r\) is the radius and \(h\) is the height.

Step2: Identify the values of \(r\) and \(h\)

From the problem, \(r = 7\) and \(h=4\).

Step3: Substitute the values into the formula

Substitute \(r = 7\) and \(h = 4\) into \(V=\pi r^{2}h\). We get \(V=\pi\times(7)^{2}\times4\).

Step4: Calculate \(r^{2}\)

\((7)^{2}=49\). So the formula becomes \(V=\pi\times49\times4\).

Step5: Calculate the product

\(49\times4 = 196\). So \(V = 196\pi\) units\(^{3}\).

Answer:

C. \(196\pi\) units\(^{3}\)