Question

What is the volume of a sphere with a diameter of 43.5 cm, rounded to the nearest tenth of a cubic centimeter?

Answer 1

To find the volume of a sphere with a diameter of 43.5 cm, divide the diameter by 2 to get the radius, then apply the formula V = (4/3) πr³ to find the volume, which is approximately 43,069.4 cm³ when rounded to the nearest tenth.

Step-by-step explanation:

The volume of a sphere with a given diameter can be calculated using the formula = (4/3) πr³, where r is the radius of the sphere. To find the volume of a sphere with a diameter of 43.5 cm, we first divide the diameter by 2 to get the radius, which is 21.75 cm. Then, we use the formula to calculate the volume: V = (4/3) π (21.75 cm)³.

Let's perform the calculation step by step:

• Substitute the radius into the volume formula: V = (4/3) π (21.75 cm)³.
• Calculate the volume: V = (4/3) π (21.75 cm)³ = 43,069.4 cm³.

Answer 2

Volume of sphere is calculated by following formula:

V = (4/3) x pi x radius^3

= (4/3) x pi x (43.5/2)^3

= ~43.1 (cm3)

Hope this helps!

:)