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Evgen [1.6K]
3 years ago
10

I need help on this on my bros​

Mathematics
1 answer:
Snowcat [4.5K]3 years ago
6 0

Step-by-step explanation:

By 30°-60°-90° triangle theorem:

15 =  \frac{1}{2}  \times c.. (side\:opposite \: to \:30°)\\ c = 15 \times 2 \\  \\  \huge \red{ \boxed{c = 30 \: m}} \\  \\ b =  \frac{ \sqrt{3} }{2}  \times c.. (side\:opposite \: to \:60°) \\  \\ b =  \frac{ \sqrt{3} }{2}  \times 30 \\  \\ \huge \purple{ \boxed{b = 15 \sqrt{3}  \: m}}

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The volume of a cone with a radius of 7 cm is 147 cubic centimeters. Which expression can be used to find h, the height ofthe co
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The choices are not attached but we can solve the problem from the given information

Answer:

The expression can be used to find h is  h=\frac{3V}{\pi r^{2}}

The height of the cone is \frac{9}{\pi } cm

Step-by-step explanation:

The formula of the volume of the cone is V = \frac{1}{3} π r² h, where

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Let us find the height of the cone from the formula of its volume

∵ V = \frac{1}{3} π r² h

- Multiply both sides by 3

∴ 3 V = π r² h

- Divide both sides by π r²

∴ \frac{3V}{\pi r^{2}}=h

- Switch the two sides

∴ h=\frac{3V}{\pi r^{2}}

The expression can be used to find h is  h=\frac{3V}{\pi r^{2}}

∵ The radius of the cone is 7 cm

∴ r = 7

∵ The volume of the cone is 147 cm³

∴ V = 147

- Substitute them in the expression of the height to find it

∵  h=\frac{3(147)}{\pi (7)^{2}}

∴ h = \frac{9}{\pi } cm

The height of the cone is \frac{9}{\pi } cm

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