Question

What is the volume of a right cone having a base diameter of 10 cm and a height of 9 cm?

Answer 1

ANSWER

$Volume = 235.6 {cm}^{3}$

EXPLANATION

The volume of a cone is calculated the using the formula:

$Volume = \frac{1}{3} \pi {r}^{2} h$

From the given information the height of the cylinder is, h=9cm.

The diameter of the base is 10cm.

The radius is half of the diameter of the base, r=5cm.

We plug in the values into the formula to get:

$Volume = \frac{1}{3} \times \pi \times {5}^{2} \times 9$

$Volume = 75\pi {cm}^{3}$

$Volume = 235.6 {cm}^{3}$

Answer 2

Answer:

volume  =  (1/3)(area of base)(height)

area of base  =  pi * radius2  =  pi * (10/2)2  =  pi * 52  =  25pi   cm2

volume  =  (1/3)( 25pi )( 9 )   cm3

volume  =  75pi   cm3

volume  ≈  236  cm3  

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