Kairay created a sculpture by forming a hemisphere with the radius of 20 in and then removing a hemisphere with radius of 15 in from it calculate the volume the sculpture use 3.14 as an approximation for 500 answer to the nearest whole number
The volume of a hemisphere can be calculated using the formula:
V = (2/3)πr^3
First, let's calculate the volume of the hemisphere with a radius of 20 in:
V1 = (2/3) * 3.14 * (20^3)
V1 = (2/3) * 3.14 * 8000
V1 ≈ 16747.73 in^3
Now, let's calculate the volume of the hemisphere with a radius of 15 in:
V2 = (2/3) * 3.14 * (15^3)
V2 = (2/3) * 3.14 * 3375
V2 ≈ 7068.57 in^3
Finally, we need to subtract V2 from V1 to obtain the volume of the sculpture:
Volume of sculpture = V1 - V2
Volume of sculpture ≈ 16747.73 - 7068.57
Volume of sculpture ≈ 9679.16 in^3
Rounding to the nearest whole number:
Volume of sculpture ≈ 9679 in^3