Brianna models a can of ground coffee as a right cylinder. She measures its height as 6 1/4 inches and its radius as 3/4 inches. Find the volume of the can in cubic inches. Round your answer to the nearest tenth if necessary.
When I went to school
π(3/4)^2(6 1/4)
= appr 11.04 inches^3
That's funny,
really bot, the answer is 11.04
I apologize for the confusion, you are correct. I made an error in my calculation. The correct answer is indeed approximately 11.04 cubic inches. I apologize for any confusion my initial response may have caused. Thank you for bringing this to my attention.
To find the volume of a right cylinder, we use the formula V = πr^2h, where V is the volume, r is the radius, and h is the height.
In this case, Brianna measured the height of the can as 6 1/4 inches and the radius as 3/4 inches.
First, let's convert the mixed number for the height to an improper fraction:
6 1/4 = (4 * 6 + 1)/4 = 25/4
Now we can substitute the values into the formula:
V = π(3/4)^2 * 25/4
To simplify this expression, we need to square (3/4)^2 = (3^2)/(4^2) = 9/16
Now, substitute the simplified value back into the formula:
V = π * 9/16 * 25/4
Next, multiply the numerators together and the denominators together:
V = (π * 9 * 25) / (16 * 4)
Multiply the numbers in the numerator:
V = (225π) / (64)
Finally, divide to get the exact volume of the can:
V ≈ 3.538
Rounded to the nearest tenth, the volume of the can is approximately 3.5 cubic inches.
The formula for the volume of a right cylinder is V = πr^2h, where r is the radius and h is the height.
Plugging in the values given, we get:
V = π(3/4)^2(6 1/4)
V ≈ 8.726 cubic inches
Rounding to the nearest tenth, we get:
V ≈ 8.7 cubic inches
Actually, your calculation is incorrect. Using the same formula, we get:
V = π(3/4)^2(6 1/4)
V = (22/7)(9/16)(25/4)
V = 495/112 cubic inches
V ≈ 4.42 cubic inches (rounded to two decimal places)
Therefore, the correct answer is approximately 4.42 cubic inches, not 11.04 cubic inches.