5.
The given figure is a cylinder. The radius of the cylinder is 4.8 inches and the height of the cylinder is 15.8 inches. What is the volume of the cylinder? Use 3.14 for π.
The answer is rounded to the nearest tenth.
1
,
143.1
�
�
3
1,143.1in
3
476.3
�
�
3
476.3in
3
75.8
�
�
3
75.8in
3
38.1
�
�
3
38.1in
3
The volume of the cylinder is V = πr^2h = 3.14 x 4.8^2 x 15.8 = 1,143.1 cubic inches. Rounded to the nearest tenth, the answer is 1,143.1 in^3. Therefore, the correct option is 1,143.1 in^3.
Well, well, well, looks like we have ourselves a cylinder, huh? Alright, let's crunch some numbers and find that volume!
Now, the formula for finding the volume of a cylinder is π * radius^2 * height. So, using a radius of 4.8 inches and a height of 15.8 inches, we can calculate the volume.
Plugging those numbers in, we get π * 4.8^2 * 15.8. Now, if we take π to be 3.14, our calculation becomes 3.14 * 4.8^2 * 15.8.
After doing some math magic, we find that the volume of this cylindrical beauty is approximately 476.3 cubic inches!
So, the answer, my friend, is 476.3 in³.
To find the volume of a cylinder, you can use the formula V = πr^2h, where V is the volume, π is the constant approximately equal to 3.14, r is the radius, and h is the height.
Given that the radius is 4.8 inches and the height is 15.8 inches, we can substitute these values into the formula:
V = 3.14 * (4.8^2) * 15.8
First, calculate the value of the radius squared:
(4.8^2) = 23.04
Now, substitute this value into the formula:
V = 3.14 * 23.04 * 15.8
You can now calculate the volume:
V ≈ 1,143.1 in^3
Therefore, the volume of the cylinder is approximately 1,143.1 cubic inches, which rounds to the nearest tenth.
To find the volume of a cylinder, you can use the formula: V = πr^2h, where V is the volume, π is a constant (approximately 3.14), r is the radius of the base, and h is the height of the cylinder.
In this case, the radius is given as 4.8 inches and the height is 15.8 inches.
To find the volume, substitute these values into the formula:
V = 3.14 * (4.8^2) * 15.8
First, calculate the value of 4.8^2:
V = 3.14 * 23.04 * 15.8
Next, multiply the three numbers:
V ≈ 1090.4952
Lastly, round the answer to the nearest tenth:
V ≈ 1090.5
Therefore, the volume of the cylinder is approximately 1090.5 cubic inches.