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2 years ago

The volumes of two similar cones are 36π cm3 and 288π cm3. The base radius of the smaller cone is 3 cm. Calculate the base radiu

s of the larger cone.

Mathematics

1 answer:

Jlenok [28]2 years ago

6 0

$V_1=36\pi\ cm^3\\\\V_2=288\pi\ cm^3\\\\\frac{V_2}{V_1}=k^3\ \ \ (k-similar\ scale)\\\\k^3=\frac{288\pi}{36\pi}\\\\k^3=8\\\\k=\sqrt[3]8\\\\k=2$

$the\ base\ radius\ of\ the\ smaller\ cone\ is\ 3cm\\\\the\ base\ radius\ of\ the\ bigger\ cone\ i\ 2\cdot3cm=6cm$

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Kay [80]

Answer:

1) 51

2) 0.8

3) cosecant

Step-by-step explanation:

Question 1

The image for this scenario is attached below. Note that base of the television tower forms the side adjacent to the angle and the length of the tower forms the side opposite to the angle. The two angles marked in image are equal because of the property of Alternate Interior Angles.

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Adjacent side = 120 feet

Opposite side = 150 feet

Tangent of an angle is defined as:

$tan(\theta)=\frac{Opposite}{Adjacent}$