Looking for answers? Westonci.ca is your go-to Q&A platform, offering quick, trustworthy responses from a community of experts. Our Q&A platform provides quick and trustworthy answers to your questions from experienced professionals in different areas of expertise. Join our Q&A platform to connect with experts dedicated to providing accurate answers to your questions in various fields.

Find the exact volume of the cylinder.

A) 80π ft^3
B) 160πft^3
C) 200πft^3
D) 400πft^3


Find The Exact Volume Of The Cylinder A 80π Ft3 B 160πft3 C 200πft3 D 400πft3 class=

Sagot :

Answer:

[tex]\boxed {\boxed {\sf C. \ 200 \pi \ ft^3}}[/tex]

Step-by-step explanation:

We are asked to find the volume of the cylinder. The formula for calculating a cylinder's volume is:

[tex]v= \pi r^2 h[/tex]

We know the height of the cylinder is 8 feet. We are given the diameter, the distance from edge to edge through the center. We want to find the radius, the distance from the edge to the center.

The radius is half the diameter.

  • r = d/2
  • r= 10 ft/2
  • r=5 ft

We know both variables (h= 8ft and r=5 ft) and can substitute them into the formula.

[tex]v= \pi (5 \ ft)^2 * (8 \ ft)[/tex]

Solve the exponent.

  • 5 ft * 5ft = 25 ft²

[tex]v= \pi (25 \ ft^2)(8 \ft)[/tex]

Multiply the numbers in parentheses.

[tex]v= \pi (200 \ ft^3)[/tex]

[tex]v= 200 \pi \ ft^3[/tex]

The volume of the cylinder is 200π cubic feet and choice C is correct.