What is the volume of a sphere with a radius of 4.5 inches?

What is the volume of a sphere with a radius of 4.5 inches?

• A. 150.80 cubic inches
• B. 248.50 cubic inches
• C. 381.7 cubic inches
• D. 450.00 cubic inches

Answer: (C)

To find the volume of a sphere, the formula used is \( V = \frac{4}{3} \pi r^3 \), where \( V \) is the volume and \( r \) is the radius of the sphere. Given that the radius is 4.5 inches, you would first need to calculate \( r^3 \): 1. Calculate \( 4.5^3 \): \[ 4.5 \times 4.5 = 20.25 \] \[ 20.25 \times 4.5 = 91.125 \] So, \( 4.5^3 = 91.125 \). 2. Next, plug this value into the volume formula: \[ V = \frac{4}{3} \pi \times 91.125 \] 3. Using an approximate value of \( \pi \) (around 3.14), we can calculate: \[ V \approx \frac{4}{3} \times 3.14 \times 91.125 \approx \frac{4 \times 3.14 \times 91.

To find the volume of a sphere, the formula used is ( V = \frac{4}{3} \pi r^3 ), where ( V ) is the volume and ( r ) is the radius of the sphere.

Given that the radius is 4.5 inches, you would first need to calculate ( r^3 ):

1. Calculate ( 4.5^3 ):

[

4.5 \times 4.5 = 20.25

]

[

20.25 \times 4.5 = 91.125

]

So, ( 4.5^3 = 91.125 ).

2. Next, plug this value into the volume formula:

[

V = \frac{4}{3} \pi \times 91.125

]

3. Using an approximate value of ( \pi ) (around 3.14), we can calculate:

[

V \approx \frac{4}{3} \times 3.14 \times 91.125 \approx \frac{4 \times 3.14 \times 91.