What is the volume of a sphere with a radius of 9 inches

Mathematics

2 answers:

Effectus [21]2 years ago

7 0

Given the formula
V= $\frac{4}{3}$ πR³
so V= $\frac{4}{3}$ π9³=972π

Sveta_85 [38]2 years ago

7 0

Answer: 972π in.³

Step-by-step explanation: To find the volume of a sphere, start with the formula for the volume of a sphere.

Volume = $\frac{4}{3} \pi r^{3}$

Notice that our sphere has a radius of 9 inches, so we can plug a 9 in for the radius in our formula.

Volume = $(\frac{4}{3}) (\pi)(9in.)^{3}$

Start by simplifying the exponent. (9 in.)³ is equal to 9 inches × 9 inches × 9 inches or 729 in.³.

Volume = $(\frac{4}{3})(729 in^{3})(\pi)$

Notice that we can cross cancel the 3 in 4/3 and 729 to 1 and 243.

Volume = (4) (243 in³) (π)

Volume = 972π in.³

You might be interested in

The minimum wage in 2003 was $5.15. This was w more than the minimum wage in 1996. Write an expression for the minimum wage in 1

bekas [8.4K]

$5.15 - w = minimum wage in 1996

(if that wasn't what you were looking for then comment what you really wanted)

8 0

2 years ago

This is a radical equation

riadik2000 [5.3K]

To solve for p, square both sides and move the equation to one side is equal to zero. Then factor. I chose -2 and -5 because -2 x -5 = 10 and -2 + -5 = -7. After factoring, solve p-5=0 and p-2=0. When one of those equals zero then the equation (p-5)(p-2)=0 is true.