Question

To find the volume of the cone in the picture where S = 13 cm and R = 5 cm:

S
(3 points)
H
Step 1
Step 2
Step 3
:: Find h by using the area of a triangle =(b.h)/2
:: Find h by using the Pythagorean Theorem r² + h² = s²
:: Since h = 6, use the formula V = 1½ πr²h to find the volume
:: Since h = 12, use the formula V =
::Tr²h to find the volume :: The volume is approximately 314.2 cm³
:: The volume is approximately 38.04 cm³

Answer 1

[AI-generated answer — Bot GPT 3.5]

Step 1: Find h by using the Pythagorean Theorem

r² + h² = s²
5² + h² = 13²
25 + h² = 169
h² = 169 - 25
h² = 144
h = √144
h = 12 cm

Step 2: Use the formula V = 1/3 πr²h to find the volume
V = 1/3 * π * 5² * 12
V = 1/3 * π * 25 * 12
V = 100π cm³
V ≈ 314.16 cm³

Therefore, the volume of the cone is approximately 314.16 cm³.