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Mathematics

1 answer:

lisov135 [29]4 years ago

3 0

Answer:

24.997 cm

Step-by-step explanation:

Find the diameter:

7(2) = 14 cm

Find the circumference:

C = $\pi d$

C = $\pi (14)$

C = 43.988

Divide the circumference by 4:

43.988/4 = 10.997

(This is the length of the curved side)

Add length to the other 2 sides:

7 + 7 + 10.997 = 24.997

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How does the volume of a cone compare to the volume of a cylinder with the same radius and height?

PilotLPTM [1.2K]

Answer:

<h2>one-third of the volume </h2>

Step-by-step explanation:

$\text{The formula of volumes of:}\\\\a\ cone:\ V_{cone}=\dfrac{1}{3}\pi r_1^2H_1\\\\a\ cylinder:\ V_{cylinder}=\pi r_2^2H_2\\\\\text{If cone and cylinder are with the same radius and height, then:}\\\\r_1=r_2=r\ \text{and}\ H_1=H_2=H\\\\V_{cone}=\dfrac{1}{3}\pi r^2H,\ V_{cylinder}=\pi r^2H\to V_{cone}=\dfrac{1}{3}V_{cylinder}$