Kairay created a sculpture by forming a hemisphere with a radius of 20 in and then removing a hemisphere with a radius of 15 in from it calculate the volume of his sculpture use 3.14 as an approximation for pie round your answer to the nearest whole number
The volume of a hemisphere can be calculated using the formula:
V = (2/3)πr^3
For the initial sculpture with a hemisphere of radius 20 in:
V1 = (2/3)(3.14)(20^3)
V1 = (2/3)(3.14)(8000)
V1 ≈ 33,493 in^3
For the subtracted hemisphere with a radius of 15 in:
V2 = (2/3)(3.14)(15^3)
V2 = (2/3)(3.14)(3375)
V2 ≈ 14,146 in^3
The final volume of the sculpture is obtained by subtracting V2 from V1:
V = V1 - V2
V ≈ 33,493 - 14,146
V ≈ 19,347 in^3
Rounding to the nearest whole number, the volume of the sculpture is approximately 19,347 in^3.