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Mariana [72]
3 years ago
15

The cone and cylinder above have the same radius and height. The volume of the cone is 210 cubic centimeters. What is the

Mathematics
1 answer:
Juli2301 [7.4K]3 years ago
5 0

Answer:

706.3 cm³

Step-by-step explanation:

<u>Given</u>

<em>"The cone and cylinder above have the same radius and height..."</em>

<em>the volume of the cone = 210 cubic centimeters</em>

<u>Formula</u>

The formula for the volume of a cylinder is V=Bh or V=πr2h. The radius of the cylinder is 8 cm and the height is 15 cm. Substitute 8 for r and 15 for h in the formula V=πr2h.

<u>How to solve</u>

Given radius and height calculate the volume, lateral surface area, and total surface area.

Calculate V, L, A | Given r, h

use the formulas above

Given radius and volume calculate the height, lateral surface area, and total surface area.

Calculate h, L, A | Given r, V

h = V / πr2

Given radius and lateral surface area calculate the height, volume, and total surface area.

Calculate h, V, A | Given r, L

h = L/2πr

Given the height and lateral surface area calculate the radius, volume, and total surface area.

Calculate r, V, A | Given h, L

r = L/2πh

Given height and volume calculate the radius, lateral surface area, and total surface area.

Calculate r, L, A | Given h, V

$r = √( V / πh )

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The only value that isn't consistent with the other units is 450 gm or grams.

Recall that 1 gram is equal to 0.001 kilo grams. So if you want to convert grams to kilograms you would multiply that amount by 0.001 or 1/1000

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