Question

What is the volume of the cone in the picture if S = 5 and R = 3? (V = πR2H 3 )

Answer 1

We will use the Pythagorean theorem:
H² = S² - R²
H² = 5² - 3² = 25 - 9 = 16
H = √16
H = 4
The volume:
V = ( π R² H ) / 3 = ( 3² · 4 ) π / 3 = 12 π  ≈ 37.68

Answer 2

The volume of a cone in the picture if S = 5 and R = 3 is 37.68.

What is the volume of a cone?

The volume of the cone is given by;

$\rm Volume \ of \ cone=\dfrac{1}{3}\pi r^2h\\\\Where;\ r = radius \ and \ h = height$

The height of the cone is;

H² = S² - R²

H² = 5² - 3² = 25 - 9 = 16

H = √16

H = 4

Substitute all the values in the formula

$\rm Volume \ of \ cone=\dfrac{1}{3}\pi r^2h\\\\ Volume \ of \ cone=\dfrac{1}{3}\times 3.14 \times 3^2 \times 4\\\\Volume \ of \ cone= 37.68$

Hence, the volume of a cone in the picture if S = 5 and R = 3 is 37.68.

Learn more about the volume of cone here;

https://brainly.com/question/3013784

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