Question

A sphere has a diameter of 24 units. What is its volume in cubic units?
A. 5767 cubic units
B. 1,7287 cubic units
C.2,304 cubic units
D. 6,912 cubic units​

Answer 1

Answer:

V=7234.56 cubic units

Step-by-step explanation:

Volume of a sphere is given by the formula

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

Where r is the radius. Radius is half of the diameter. Diameter is 24 units , hence radius is 12 units.

Putting this value of radius r =12 units in the formula .

$V =\frac{4}{3} \pi (12)^{3}$

$V =\frac{4}{3} \times \pi \times 12 \times 12 \times 12$

$V =4 \times \pi \times 12 \times 12 \times 4$

$V =4 \times 3.14 \times 12 \times 12 \times 4$

V=7234.56

Volume is 7234.56 cubic units