A cone has a volume of 12.56 cubic yards and a height of 3 yards. What is its radius? Use ​𝜋 ≈ 3.14 and round your answer to the nearest hundredth.

Answer 1

V = (1/3)hA where h= height and A = pi(r^2)

12.56 = (1/3)(3)(3.14)r^2

r^2 - 12.56/3.14 = about 4

r= sqr4 = 2

radius = very close to 2 yards

V= (1/3)3(3.14)(2^2)= 3.14 x 4 = 12.56