A cone has a radius of 5 inches and a height of 18 inches. What is the exact volume of the cone? A. 150π in3 B. 300π in3 C. 450π in3 D. 540π in3
volume = 1/3 × pi × r^2 × h
= 1/3 × pi × 5^2 × 18
= 150pi
the answer is A
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Answer:
A.150π
Step-by-step explanation:
To find the solution to this problem, we will follow the steps below:
First write down the formula for calculating the value of a cone
Volume of a cone = πr²h/3
where r is the radius of the cone and h is the height of the cone.
From the question given, radius= 5 inches and height=18 inches
We can now proceed to substitute our values into the equation;
Volume of a cone = πr²h/3
= π5²18/3
= π×25×6
=150 π
Therefore, the volume of the cone is 150π