Question

the volume V of a cone of height h and base radius is r is 1/3 pi r square h​. Obtain a formula for r in terms of V,pi and h. Calculate the base radius of a cone of height 14 cm and volume 91 whole number 2/3 cm cube using the value 22/7 for pi. Please solve with understandable steps​

Answer 1

1/3× Pi × r² ×h = V

r² = 3V / pi ×h

r = (root ) 3V /pi ×h

Volume of cone =1/3 ×Pi ×r² ×h

275 = 1/3 × 22/7 ×r²×14

275 ×3×7 / 22×14 =r²

18.75 =r²

r = 4.3 cm