Questions: Post Test - Circles and 3D Objects Question 5/12 Select the correct answer for the volume of a cylinder when: D=4 and H=7. Use pi=3.14 A 351.68 B 43.96 C 87.92

Solution Steps

The volume \( V \) of a cylinder is given by the formula: \[ V = \pi r^2 h \] where \( r \) is the radius and \( h \) is the height.

Given the diameter \( D = 4 \), the radius \( r \) is half of the diameter: \[ r = \frac{D}{2} = \frac{4}{2} = 2 \]

Substitute \( r = 2 \), \( h = 7 \), and \( \pi = 3.14 \) into the volume formula: \[ V = 3.14 \times (2)^2 \times 7 \]

First, calculate \( (2)^2 \): \[ (2)^2 = 4 \] Then multiply by \( 3.14 \) and \( 7 \): \[ V = 3.14 \times 4 \times 7 = 87.92 \]

The calculated volume \( V = 87.92 \) matches option C.

Final Answer