Question

The volume of a right cylinder is 2,000π cubic feet, and the height is 20 feet. What is the length of the radius in feet?

Answer 1

Given,

Volume of the cylinder = 2000π ft³

Height = 20 ft

To find,

The length of the radius.

Solution,

We can simply solve this mathematical problem by using the following mathematical process.

Let, the length of the radius = r ft.

Volume = (π×r²×20) ft³

According to the data mentioned in the question,

π × r² × 20 = 2000π

r² = 2000π/20π

r² = 100

r = 10

Radius of the cylinder = 10 ft.

Hence, the radius of the cylinder in feet is 10 ft.

Answer 2

$\textbf{Given:}$

$\mathsf{Volume\;of\;a\;cylinder=2000\,\pi\,cubic\;feet\;\;and\;height=20\;feet}$

$\textbf{To find:}$

$\textsf{Radius of the cylinder}$

$\textbf{Solution:}$

$\textsf{Consider,}$

$\mathsf{Volume\;of\;a\;cylinder=2000\,\pi\,cubic\;feet}$

$\implies\mathsf{\pi\;r^2\;h=2000\,\pi}$

$\implies\mathsf{r^2(20)=2000}$

$\implies\mathsf{r^2=\dfrac{2000}{20}}$

$\implies\boxed{\mathsf{r=10\;feet}}$

$\textbf{Find more:}$

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