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elena55 [62]
2 years ago
10

A tree trunk can be thought of as a cylinder with a height of 1.7 M if the tree trunk has a diameter of 60 cm what is its volume

in metres cubed give your answer to 2 decimal place.
Mathematics
1 answer:
Blizzard [7]2 years ago
7 0

The formula for the volume of a cylinder is pi * radius squared * height, or πr^2h.

To find the radius of the cylinder, take the given diameter (60 cm) and divide it by 2. 60 / 2 = 30 cm.

Now we need to either find the height in centimeters or find the radius in meters. Because a centimeter is 1/100 of a meter, we multiply the radius by 100 to get the radius in meters.

We also must square the radius. So 30 cm multiplied by itself equals 900 cm.

Radius: 900 / 100 = 9 m

We have to square the radius before plugging it into the equation because it would mess up the numbers if we didn't (0.3 m squared is 0.09 m, which is very small).

Now we can plug these values into the formula for the volume of a cylinder.

π * r^2 * h = π * 9 m * 1.7 m = ~48.066 cubic meters

Rounded to two decimal places is 48.07 cubic meters.

The volume of the tree trunk is about 48.07 cubic meters.

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