## Related questions with answers

Early golf balls were smooth spheres. Later it was discovered that golf balls flew better when they were dimpled. On January 1 , 1932, the United States Golf Association set standards for the weight and size of a golf ball. The minimum diameter of a regulation golf ball is $1.680$ inches. Use $3.14$ for $\pi$. Round to the nearest hundredth.

Find the volume of a smooth golf ball with the minimum diameter allowed by the United States Golf Association.

Solution

VerifiedFinding the radius:

$\begin{align*} d&=2r\\\\ 1.680&=2r\tag{Substitute}\\\\ 0.84&=r\tag*{Divide each side by 2}\\\\ r&=\textcolor{#c34632}{0.84}\text{ in} \end{align*}$

Finding the volume:

$\begin{align*} V&=\dfrac{4}{3}\pi r^3\\ \\ &\approx \dfrac{4}{3}\cdot3.14\cdot0.84^3\tag*{Substitute into the formula.}\\ \\ &\approx \dfrac{4}{3}\cdot 3.14\cdot 0.592704\tag*{Simplify the exponent.}\\ \\ &\approx\textcolor{#c34632}{2.4815}\text{ in$^3$}\tag*{Multiply}\\\\ &\approx\textcolor{#c34632}{2.48}\text{ in$^3$}\tag*{Round to the nearest hundredth} \end{align*}$

## Create an account to view solutions

## Create an account to view solutions

## Recommended textbook solutions

#### Algebra 2 Common Core

1st Edition•ISBN: 9780133186024 (2 more)Basia Hall, Charles, Kennedy#### Big Ideas Math Algebra 2: A Common Core Curriculum

1st Edition•ISBN: 9781608408405 (1 more)Boswell, Larson## More related questions

1/4

1/7