A cone has a slant length of 10 and a diameter of 8. Height is unknown.

What is the volume of the oblique cone?

Answer: 153.56

Step-by-step explanation:

Hi, to answer this question we have to apply the next formulas:

Volume of a cone: 1/3 π r² h

Where r is the radius and h is the height (unknown)

Diameter = r x 2

8 = 2r

8/2 = r

r = 4

Before calculating the volume we have to apply the Pythagorean Theorem to find h. (where the slant is the hypotenuse and h and r are the sides of the triangle)

10 ² = h² + 4²

Solving for h

100 = h² + 16

100-16 = h²

84 = h²

√84 = h

9.16 = h

Back on the volume formula:

V = 1/3 π r² h

V = 1/3 π 4² (9.16) = 153.56