The correct expression representing the correct procedure for calculating the volume of the cylinder with height (16 cm) and radius (5 cm) is B) [tex]V = \pi \times 5^2 \times 16[/tex].
To calculate the volume of a cylinder, we use the following formula:
[tex]V = \pi \times r^2 \times h[/tex]
Where:
V is the volume of the cylinder,
r is the radius of the base of the cylinder,
h is the height of the cylinder,
[tex]\pi[/tex] is approximately 3.14159.
Given:
Height (h) = 16cm,
Radius (r) = 5cm.
The correct expression for the volume of the cylinder would be:
[tex]V = \pi \times 5^2 \times 16[/tex]
This simplifies to:
[tex]V = \pi \times 25 \times 16[/tex]
V = 400[tex]\pi[/tex]
So, the volume of the cylinder is 400[tex]\pi[/tex]cm³, or approximately 1256.64cm³.
Complete Question:
Look at the following image.
Height =16 cm
Radius = 5cm
Which expression represents the correct procedure for calculating the volume of the
cylinder?
Image:
a) [tex]V = \pi \times 10^2 \times 16[/tex]
b) [tex]V = \pi \times 5^2 \times 16[/tex]
c) [tex]V = \pi \times 16^2 \times 5[/tex]
d) [tex]V = \pi \times 32^2 \times 16[/tex]