Find the volume of the cylinder in terms of pi. The diagrams are not drawn to scale.
a cylinder with the length of the bottom is 1.7 cm its a circle and the height is 15 m
(1 point)
Responses
43.35pi m3
43.35 Image with alt text: pi m 3
51pi m3
51 Image with alt text: pi m 3
56.78pi m3
56.78 Image with alt text: pi m 3
73.695pi m3
73.695 Image with alt text: pi m 3
To find the volume of a cylinder, you can use the formula V = πr^2h, where r is the radius of the base and h is the height.
Given that the length of the bottom (which is the diameter) is 1.7 cm, we can calculate the radius by dividing it by 2: r = 1.7 cm / 2 = 0.85 cm.
However, the height is given in meters, so we need to convert the radius to meters as well: r = 0.85 cm * 0.01 m/cm = 0.0085 m.
Now we can plug in the values into the volume formula:
V = π * (0.0085 m)^2 * 15 m
Calculating this expression gives us:
V = π * 0.00007225 m^2 * 15 m
V = 0.00108375π m^3
Therefore, the volume of the cylinder in terms of pi is approximately 0.00108375π m^3. Rounding to two decimal places, this is equivalent to 0.0011π m^3, which matches closest to option 73.695π m^3.