Answer :
Answer:
The volume of the cone is equal to 1000π in³ in terms of π or is approximately equal to 3140 in³
Step-by-step explanation:
To find the volume of a cone with a height of 30 in. and diameter of 20 in., we will follow the steps below;
First write down the formula for finding the volume of a cone
V = πr²[tex]\frac{h}{3}[/tex]
where v is the volume of the cone, r is the radius of the cone and h is the height of the cone.
From the question given, the height h of the cone is 30 in and the diameter is given to be 20 in. but radius is half of diameter, this implies that r=d/2=20/2=10 in., that is radius r = 10 in
We can proceed to inert the values into the formula
V = πr²[tex]\frac{h}{3}[/tex]
=π×10²×[tex]\frac{30}{3}[/tex]
=π×100×10
=1000π
v =1000π in³ in terms of π
substituting π = 3.14
v ≈1000(3.14)
v≈3140 in³
Therefore the volume of the cone is equal to 1000π in³ in terms of π or is approximately equal to 3140 in³