Question

50 Points! Multiple choice geometry question. Photo attached. Thank you!

Answer 1

D. 100.5 in³

Explanation:

We can find the radius of the cone, we can use the following formula:

`r = (√((s² - h²)))/(2)`

where:

• r is the radius
• s is the slant height
• h is the height

In this case, we have:

• s = 10 inches
• h = 6 inches

Substituting these values into the formula, we get:

`r = (√((10² - 6²)))/(2)`

r=4 inches

Now that we know the radius, we can find the volume of the cone using the following formula:

V = ⅓*πr²h

where:

• V is the volume
• π is approximately 3.14
• r is the radius
• h is the height

In this case, we have:

V = ⅓*π(4²)(6)

V = ⅓*π*(16)(6)

V =32π

V= 100.5 cubic inches

Therefore, the volume of the cone is 100.5 cubic inches.