V=31πr2hThe formula gives the volume V of a right circular cone with radius r and height h. What is the volume, in cubic inches, of a right circular cone with a radius of 12 inches and a height of 2 inches?Choose 1 answer:(A) 96π(B) 72π(C) 24π(D) 8π
Q. V=31πr2hThe formula gives the volume V of a right circular cone with radius r and height h. What is the volume, in cubic inches, of a right circular cone with a radius of 12 inches and a height of 2 inches?Choose 1 answer:(A) 96π(B) 72π(C) 24π(D) 8π
Substitute given values: The formula for the volume of a right circular cone is V=31πr2h. We need to substitute the given values for the radius (r=12 inches) and height (h=2 inches) into the formula to find the volume.
Calculate square of radius: First, calculate the square of the radius: r2=(12 inches)2=144 inches2.
Multiply by height: Next, multiply the result by the height: r2h=144 inches2×2 inches=288 inches3.
Include π: Now, multiply this result by π to include the π from the formula: πr2h=π×288 inches3.
Multiply by (31): Finally, multiply by the fraction(31) to complete the formula: V=(31)πr2h=(31)×π×288 inches3.
Perform multiplication: Perform the multiplication: V=(31)×288π inches3=96π inches3.