Question

What is the volume of corn held in this cone-shaped grain silo? Use 3.14 for π and round to the nearest cubic foot. Enter your answer in the box.

Answer 1

V = 301 ft^3

Explanation:

The volume of a cone is given by

V =1/3 pi r^2 h

We know pi = 3.14 r =6 and

We need to determine h

We can find h from the Pythagorean theorem where 6 is a leg and 10 is the hypotenuse

h^2 +6^2 = 10^2

h^2 +36 = 100

h^2 = 64

Taking the square root of each side

h = 8

V =1/3 pi r^2 h

V = 1/3 (3.14) (6)^2 * 8

V = 301.44 ft^3

Rounding to the nearest cubic foot

hope this helps =)

Answer 2

301

Explanation:

Height² = 10² - 6²

Height² = 64

Height = 8

Volume = ⅓pi × r² × h

= ⅓ × 3.14 × 6² × 8

= 301.44 ft³