Kairay created a sculpture by forming a hemisphere with a radius of 20 inches and then removing a hemisphere with a radius of 15 inches from Calculate the volume of his sculpture. Use 3.14 as an approximation for pi. Round your answer to the nearest whole number (1 point) 9.682 ln.^ 3 O 747 ln.^ 3 19,363 in.3
O 65 ln.^ 3
To find the volume of the sculpture, we need to subtract the volume of the smaller hemisphere from the volume of the larger hemisphere.
The volume of a hemisphere is given by the formula: (2/3) * π * r^3.
For the larger hemisphere with a radius of 20 inches:
Volume of larger hemisphere = (2/3) * 3.14 * (20^3)
= (2/3) * 3.14 * 8000
≈ 33500 in^3
For the smaller hemisphere with a radius of 15 inches:
Volume of smaller hemisphere = (2/3) * 3.14 * (15^3)
= (2/3) * 3.14 * 3375
≈ 7080 in^3
Finally, we can find the volume of the sculpture:
Volume of sculpture = Volume of larger hemisphere - Volume of smaller hemisphere
≈ 33500 in^3 - 7080 in^3
≈ 26420 in^3
Rounded to the nearest whole number, the volume of the sculpture is 26,420 in^3. Therefore, the closest answer choice is 19,363 in^3.