Question

Find the volume of a right circular cone that has a height of 6.7 in and a base with a circumference of 9.8 in. Round your answer to the nearest tenth of a cubic inch.

Answer 1

$v = 17.06851cu.inches$
when rounded the answer would be 20cu. inches
The formula for finding the volume of a cone is
1/3(hπr^2)
since we don't know the radius we can find it out through the equation of finding the circumference which is π x d =9.8inches
so the diameter is 9.8/π
which is 3.119437 inches
since the diameter is 2xradius so it would be
3.119437/2=1.559718
so now we can plug this into our equation

1/3(6.7x3.141592653x1.559718^2)
so that would be 17.06851cu.inches