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3 years ago

A cylinder has height of 7 inches and a base with a diameter of 9 inches.

Mathematics

1 answer:

bekas [8.4K]3 years ago

6 0

Answer:

527.6 cubic inches

Step-by-step explanation:

The volume of a cylinder is represented by the formula $V = \pi r^{2} h$ , where r represents the radius of the base and h represents the height.

In this question, the diameter is given as 9 inches. Since the radius is half the diameter, the radius will be 4.5 inches.

Substituting in the values and solving, we get:

$V =9 \pi (4.5)^{2}\\V = 9\pi(20.25)\\V = 182.25\pi\\V = 572.6$

The Volume will be 527.6 cubic inches

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What is the arc length of the subtending arc for an angle of 72 degrees on a circle of radius 4?

deff fn [24]

Let $L$ be the length of an arc subtended by an angle of $\theta$ on a circle of radius $r$ . Then the ratio of the arc's length to its subtended angle is proportional with the circle's entire circumference to one complete revolution:

$\dfrac{2\pi r}{2\pi}=\dfrac{L}{\theta}$

Solving for $L$ yields the formula for arc length of a circular arc,

$L=r\theta$

where $\theta$ is in radians. To convert to degrees, use the conversion factor $\dfrac{180^\circ}{\pi\text{ rad}}$ .

$L=4\times\left(72^\circ\times\dfrac{\pi\text{ rad}}{180^\circ}\right)=4\times\dfrac{2\pi}5=\dfrac{8\pi}5\approx5.0265$

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3 years ago

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Readme [11.4K]

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3 years ago

I need help!!! Solve the equation 7= -10s -3

mojhsa [17]

Answer:

s = -1

Step-by-step explanation:

7 = -10s -3 <== add 3 to both sides

+3 + 3

10 = -10s <== divide both sides by -10

/-10 /-10

-1 = s

Final answer: -1 = s or s = -1

Hope this helps!

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2 years ago

Anyone know the answer?

aleksklad [387]

I want to say it’s the second one

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2 years ago

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3 years ago