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 it. Calculate the volume of his sculpture. Use 3.14 as an approximation for pi. Round your answer to the nearest whole number.
1. 16,747 in^3.
2. 7,065 in^3.
3. 19,363 in^3.
4. 9,682 in^3.
Wrong
The volume of the larger hemisphere is calculated using the formula V = (4/3)πr^3.
The volume of the smaller hemisphere is calculated using the same formula.
Therefore, the volume of the sculpture is (4/3)π(20^3) - (4/3)π(15^3).
Simplifying this expression, we get (4/3)π(8000) - (4/3)π(3375).
Finally, we calculate the result as (4/3)(3.14)(8000) - (4/3)(3.14)(3375).
This simplifies to (10053.3333 - 4230).
Rounded to the nearest whole number, the volume of the sculpture is 5823 in^3.
Thus, option 4 is the correct answer.