Please help me ASAP, thank you ^-^. The radius of the cone is 7 in and y = 25 in. What is the volume of the cone in terms of π?

Mathematics

2 answers:

Anastasy [175]3 years ago

7 0

Answer: 392π in3

Step-by-step explanation:

MrRa [10]3 years ago

6 0

<h2>Answer:</h2>

The volume of the cone in terms of π is:

A. 392π in³

<h2>Step-by-step explanation:</h2>

The radius of the cone i.e. r is: 7 in.

and the slant height of the cone i.e. l=y=25 in.

and let h=x be the height of the cone.

Now, using the Pythagorean Theorem we have:

$l^2=r^2+h^2\\\\i.e.\\\\h^2=l^2-r^2\\\\i.e.\\\\h^2=(25)^2-7^2\\\\i.e.\\\\h^2=625-49\\\\i.e.\\\\h^2=576\\\\i.e.\\\\h=\sqrt{576}\\\\i.e.\\\\h=24$

Hence, we get:

$h=x=25\ in.$

Now, the volume of the cone is given by:

$Volume=\dfrac{1}{3}\pi r^2h\\\\i.e.\\\\Volume=\dfrac{1}{3}\times\pi\times (7)^2\times 24\\\\i.e.\\\\Volume=392\pi\ in^3$

Hence, the answer is: Option: A

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