Question

A dome-shaped structure is in the shape of a half-sphere. The diameter of the dome is 30 yards long, as shown below. What is the volume inside the dome? Explain how you got your answer.
somebody please help me! And please give me the correct answer

Answer 1

Answer:

7068.58 yd³

Step-by-step explanation:

A half sphere would use the normal equation for the volume of a sphere and then divide it by two. The first step would be to find the radius of the sphere, which is half the diameter.

d=30 yd

r=d÷2

r = 30 yd÷2

r = 15 yd

Next, we need to use the volume of a sphere equation to find the volume of the full sphere.

V = 4×π×r³÷3

V = 4×π×15 yd³÷3

V = 4×π×3375 yd³÷ 3

V = 13500π yd³ ÷ 3

V = 4500π yd³

Next, we need to find the volume of the dome by dividing by 2.

V = 4500π yd³ ÷ 2

V = 2250π yd³

V = 7068.58 yd³

The total volume of the dome is 7068.58 yd³