Find the volume of the Cylinder below. v =Bh^ *
curved length 8 m
radius 6m
about 48.4 * m deg * 3
about 169.56m ^ 2 * 3
about 226.3m ^ 2 * 3
about 904 m^ * 3
To find the volume of a cylinder, you can use the formula V = Bh, where B is the base area and h is the height.
The base area of a cylinder is calculated by multiplying the area of the base shape (which is a circle) by the radius squared. The formula for the base area of a circle is A = πr^2.
Given that the radius of the cylinder is 6m, we can determine the base area:
A = π(6^2) = 36π m^2
Next, we need to find the height of the cylinder. The information provided about the "curved length" is not clear, as the term "curved length" is not typically used to describe the height of a cylinder. If you are referring to the lateral surface area (the curved part) of the cylinder instead of the height, then we can use the formula for the lateral surface area of a cylinder, which is A = 2πrh.
By substituting the given values, we can solve for the height (or curved length) of the cylinder. The lateral surface area is given as approximately 48.4m^2 * π:
48.4 = 2π(6)(h)
48.4 = 12πh
h = 4.033 m
Now we have the values for the base area (36π m^2) and the height (4.033 m).
V = Bh
V = (36π)(4.033)
V ≈ 144π ≈ 452.39 m^3
Since the provided answer choices are not in the same format as the calculated volume, we can round the volume to the nearest whole number:
V ≈ 452 m^3
Therefore, the correct answer choice is "about 904 m^3".
5. Pick the expression that would provide the approximate surface area in square units of the Cylinder below. S.A,= 2pi*rh + 2pi * r ^ - 2
curved length 8 m
radius 6 m
150.72 + 56.52
36 * 8
150.72 + 226
6 * 8 * 3.14
To find the surface area of a cylinder, you can use the formula SA = 2πrh + 2πr^2, where SA is the surface area, r is the radius, and h is the height (or curved length).
Given that the radius of the cylinder is 6m and the curved length is 8m, we can substitute these values into the formula:
SA = 2π(6)(8) + 2π(6^2)
= 96π + 72π
= 168π
To get an approximate value, we can use the fact that π is approximately 3.14:
SA ≈ 168 * 3.14
Considering the available answer choices:
- 150.72 + 56.52 = 207.24
- 36 * 8 = 288
- 150.72 + 226 = 376.72
- 6 * 8 * 3.14 = 150.72
The closest answer choice to our calculation is "150.72 + 226", which is equal to 376.72. However, this is not the correct value because we rounded π to 3.14. The most accurate answer choice is "6 * 8 * 3.14", which is equal to 150.72.
Therefore, the correct answer choice is "6 * 8 * 3.14".