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What is the exact volume of the cone? 80π ft³ 4003π ft³ 400π ft³ 418710π ft³ Outline of cone with a dotted line rising from middle of base to the point. Line is labeled sixteen feet. A second dotted line extends horizontally from middle of base to its edge. Line is labeled five feet. HELP ASAP

Verified Answer :

nobillionaireNobley

Volume of cone = 1/3 x pi x r^2 x h
where r = 5 ft and h = 16ft

Volume = 1/3 x pi x 5^2 x 16 = 400/3 π ft^3

JeanaShupp

Answer: \(\text{Volume of cone}=\frac{400}{3}\pi\ ft^3\)

Step-by-step explanation:

Given: Outline of cone with a dotted line rising from middle of base to the point. h = 16 feet

A second dotted line extends horizontally from middle of base to its edge r= 5 feet

We know that the volume of cone is given by :-

\(\text{Volume of cone}=\frac{1}{3}\pi r^2h\\\\\Rightarrow\ \text{Volume of cone}=\frac{1}{3}\pi(5)^2(16)\\\\\Rightarrow\ \text{Volume of cone}=\frac{1}{3}\pi(25)(16)\\\\\Rightarrow\ \text{Volume of cone}=\frac{400}{3}\pi\ ft^3\)

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