Question

ASAP ILL GIVE BRAINLIEST IF UR RIGHT!!! The radius of the cone is 5 in and y = 13 in. What is the volume of the cone in terms of π?
A cone with a right triangle formed from its dimensions; the value of the height is h, and the value of the slant height is y; the height x and the radius form a right angle at the center of the cone.

40π in3
43π in3
100π in3
108π in3

Answer 1

Answer: V = $100\pi$ $in^{3}$ (third option)

Given Information:

• V = $\frac{1}{3}\pi r^{2} h$ <-- volume formula.
• r = 5
• y = 13
• h = ?

To find h...

• h, r, and y make a right triangle.
• h and r are the two legs, y is the hyptenuse.
• $h^{2} + r^{2} = y^{2}$
• $h^{2} + 5^{2} = 13^{2}$
• $h^{2} + 25 = 169$
• $h^{2} = 144$
• h = 12

Use formula:

• V = $\frac{1}{3}\pi r^{2} h$
• V = $\frac{1}{3} \pi (5)^{2} (12)$
• V = $\frac{1}{3} \pi (25)(12)$
• V = $\frac{1}{3} \pi (300)$
• V = $100\pi$

Answer 2

Answer:

tbh i have no clue

Step-by-step explanation:

im here to let you get the other guy a brainliest thingy OuO