If the radius of a sphere is 7 cm, what is the volume in cubic cm?

If the radius of a sphere is 7 cm, what is the volume in cubic cm?

• A. 1,437
• B. 143.7
• C. 14.37
• D. 1.437

Answer: (A)

To find the volume of a sphere, the formula used is \( V = \frac{4}{3} \pi r^3 \), where \( r \) is the radius of the sphere. In this case, the radius is given as 7 cm. First, calculate \( r^3 \): \[ 7^3 = 7 \times 7 \times 7 = 343 \text{ cm}^3 \] Next, substitute \( r^3 \) into the volume formula: \[ V = \frac{4}{3} \pi \times 343 \] Using \(\pi \approx 3.14\): \[ V \approx \frac{4}{3} \times 3.14 \times 343 \] Calculating \( \frac{4}{3} \times 3.14 \): \[ \frac{4 \times 3.14}{3} \approx 4.18667 \] Now, multiply this by \( 343 \): \[ V \approx 4.18667 \times 343 \approx 1436.76 \text{ cm}^3 \] When rounded,

To find the volume of a sphere, the formula used is ( V = \frac{4}{3} \pi r^3 ), where ( r ) is the radius of the sphere. In this case, the radius is given as 7 cm.

First, calculate ( r^3 ):

[

7^3 = 7 \times 7 \times 7 = 343 \text{ cm}^3

]

Next, substitute ( r^3 ) into the volume formula:

[

V = \frac{4}{3} \pi \times 343

]

Using (\pi \approx 3.14):

[

V \approx \frac{4}{3} \times 3.14 \times 343

]

Calculating ( \frac{4}{3} \times 3.14 ):

[

\frac{4 \times 3.14}{3} \approx 4.18667

]

Now, multiply this by ( 343 ):

[

V \approx 4.18667 \times 343 \approx 1436.76 \text{ cm}^3

]

When rounded,