Answer to Question #171684 in Geometry for Ana

Question

The volume of a cone shaped hole is 48 on ft cubes if the hole is 4 feet deep is hat is the radius of the hole?

Answer 1

Volume =B.A*height =1/3$\Pi$r² h

Thus Volume =48ft³ and Height= 4ft

Replacing in the equation

48=1/3$\Pi$r² 4 divide both sides by 4

12=1/3$\Pi$r² multiply both sides by 3 to remove fraction

36=$\Pi$r² Divide through by $\Pi$

11.46=r² into 2d.p.

find the square root both sides

3.39=r into 2d.p.

Therefore, radius r=3.39