Describe the volume of the cylinder with a base radius of 2.5 in. and a height of 9 in.Responses π(2.5)2(9)in.3 pi left parenthesis 2.5 right parenthesis squared left parenthesis 9 right parenthesis in. cubed π(9)2(2.5)in.3 pi left parenthesis 9 right parenthesis squared left parenthesis 2.5 right parenthesis in. cubed π(2.5)(9)in.3 pi left parenthesis 2.5 right parenthesis left parenthesis 9 right parenthesis in. cubed (2.5)(9)in.3
The correct response is π(2.5)2(9)in.3, which means the volume of the cylinder is equal to π times the square of the base radius (2.5) squared times the height (9) in cubic inches.
can you write that in number form?
Certainly! In number form, the volume of the cylinder would be approximately 176.7145867645 cubic inches.
To find the volume of a cylinder, you can use the formula V = πr^2h, where V represents the volume, π is a mathematical constant approximately equal to 3.14, r is the radius of the base, and h is the height of the cylinder.
In this case, the base radius is given as 2.5 inches and the height is 9 inches. Plugging these values into the formula, we get:
V = π(2.5)^2(9) in^3
Now, let's calculate it step by step:
1. Calculate the square of the radius:
(2.5)^2 = 6.25
2. Multiply the result with the height:
6.25 * 9 = 56.25
Finally, rewrite the expression with the units included:
V = 56.25π in^3
So, the volume of the cylinder with a base radius of 2.5 in. and a height of 9 in. is approximately 56.25π cubic inches.