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oee [108]
3 years ago
10

A cylinder has a volume 45pi and radius 3. What is it’s height?

Mathematics
2 answers:
julsineya [31]3 years ago
7 0

Answer:

the answer is 15

Step-by-step explanation:

Given data:

Volume V = 45 π and radius  

r = 3 units The formula for the volume of the cylinder is  V = B · H

Base of the cylinder is:

B = r² π = 3² π = 9 πFrom the formula  V = B · H we get H:H = V / B = 45 π / 9 π = 5 units

H = 5 units

Lady bird [3.3K]3 years ago
4 0

Answer:

The height is 5

Step-by-step explanation:

Given data:

Volume V = 45 π and radius  r = 3 units

The formula for the volume of the cylinder is  V = B · H

Base of the cylinder is:

B = r² π = 3² π = 9 π

From the formula  V = B · H we get H:

H = V / B = 45 π / 9 π = 5 units

H = 5 units

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In triangle ABC, ∠CBA = 90°, therefore in triangle BCD ∠CBD = 90° also.

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12cm/sin(∠ADC) = DC/sin(∠DCA)
12cm/sin(55°) = DC/sin(60°)
DC = 12cm*sin(60°)/sin(55°)
DC = 12.686 cm
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