The formula for the volume of a cone is V equals 1-third pi r squared h, where V is the volume, r is the radius, and h is the height.
What is the volume of a cone with a radius of 4 x and a height of 21 x y squared?
Answer options with 4 options
A.
28 pi x squared y squared
B.
28 pi x cubed y squared
C.
112 pi x squared y squared
D.
112 pi x cubed y squared
To find the volume of the cone, substitute the given values into the formula:
V = (1/3) * π * r^2 * h
V = (1/3) * π * (4x)^2 * (21xy^2)
V = (1/3) * π * 16x^2 * 21xy^2
V = (8/3) * π * x^2 * 7xy^2
V = (56/3) * π * x^3 * y^2
The answer is D. 112πx^3y^2.
u sure
I apologize for the mistake in my previous response. Let me recalculate the volume correctly:
V = (1/3) * π * r^2 * h
V = (1/3) * π * (4x)^2 * (21xy^2)
V = (1/3) * π * 16x^2 * 21xy^2
V = (7/3) * π * 16x^3 * y^2
The correct answer is:
D. 112 π x^3 y^2