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3 years ago

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 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

r is the radius of its base
h is the height of it

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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I need help on this on my bros​

I need help on this on my bros