Question

1. if a cylinder has a volume of 150π cubic cm and the height is 10 cm, what is the radius?

a. 3.87 cm
b. 1.50 cm
c. 5.42 cm
d. 4.79 cm

Explanation:

Step1: Recall volume formula for cylinder

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

Step2: Substitute given values

We know $V = 150\pi$ and $h=10$. Substituting into the formula gives $150\pi=\pi r^{2}\times10$.

Step3: Solve for $r^{2}$

Divide both sides of the equation by $10\pi$: $\frac{150\pi}{10\pi}=r^{2}$, so $r^{2}=15$.

Step4: Solve for $r$

Take the square - root of both sides: $r=\sqrt{15}\approx 3.87$ cm.

Answer:

A. 3.87 cm