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zhuklara [117]
3 years ago
9

A cylinder has a diameter of 6 cm and a height of 14 cm. What is the approximate volume of a cone with the same diameter and hei

ght
as the cylinder?
Mathematics
1 answer:
Feliz [49]3 years ago
3 0

Answer:

volume of cone=1/3 ×π×(d/2)²h=1/3 ×22/7×6²/4×14=924cm³

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The height of the chimney above the floor of the observation deck is 52.4 ft

Two right angle triangle will be formed.

<h3>Right angle triangle:</h3>

Right angle triangle are triangle that has one of its angle as 90 degrees.

Therefore, using trigonometric ratio,

adjacent side = distance of observer from the bottom edge of the Delaware River drawbridge observation deck

Therefore,

tan 40 = opposite / adjacent

Where

x = height of the observer to the top of the observation deck

tan 40 = x / 200

x = 200 tan 40

x = 167.819926235

x = 167.82 ft

tan 30 = opposite / adjacent

y = height of the observer to the bottom of the observation deck

tan 30 = y / 200

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y = 115.470053838

y = 115.47 ft

The height of the chimney above the floor of the observation deck = height of the observer to the top of the observation deck - height of the observer to the bottom of the observation deck

The height of the chimney above the floor of the observation deck = 167.82 - 115.47 = 52.35 ft

learn more on trigonometric ratio here: brainly.com/question/23854119

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Answer:

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