Question

the units for measuring the volume of a cylinder are _______. a. cubic units b. square units c. none of the answers d. linear units a cylinders volume is 250π cm³ and its radius is 5 cm. what is its height? a. 12 cm b. 10 cm c. 20 cm d. 25 cm

Explanation:

Step1: Recall volume unit concept

Volume measures the amount of space occupied by a 3 - D object. For any 3 - D object, the units are cubic units. So for a cylinder, the units for measuring its volume are cubic units.

Step2: Use cylinder volume formula

The volume formula of a cylinder is $V=\pi r^{2}h$. Given $V = 250\pi\ cm^{3}$ and $r = 5\ cm$. Substitute these values into the formula: $250\pi=\pi\times5^{2}\times h$. First, simplify the right - hand side: $\pi\times5^{2}\times h=25\pi h$. Then solve for $h$ from the equation $250\pi = 25\pi h$. Divide both sides of the equation by $25\pi$: $h=\frac{250\pi}{25\pi}=10\ cm$.

Answer:

1. A. cubic units
2. B. 10 cm