$\bf \textit{volume of a cylinder}\\\\
V=\pi r^2 h~~
\begin{cases}
r=radius\\
h=height\\[-0.5em]
\hrulefill\\
r=3\\
h=9
\end{cases}\implies V=\pi (3)^2(9)\implies V=81\pi$

5 0

3 years ago

Read 2 more answers

Find the area of each sector.

svetlana [45]

I did this I think 12 years

3 0

3 years ago

A storage tank holds 235,500 in3 of a chemical. The chemical is dispensed to completely fill 25 identical cylindrical containers

VMariaS [17]

The volume of every of the 25 cylindrical containers is 235,500/25 = 9,420 in^3

The formula for the volume of a cylinder is:

V = π(r^2).h

Where π=3.14, r = 2.5 in, V = 9,420 in^3, so you can obtain h as:

h = V / (πr^2) = 9,420 / [(3.14) (2.5^2)] = 480 in

8 0

4 years ago

There is a clown's face on the top of a spinner. The tip of his hat rotates to (−2, 5) during one spin. What is the cosine value

Ivenika [448]

Answer:

The last choice is your answer

Step-by-step explanation:

Plot your point in an x/y coordinate plane. We are in QII where x is negative and y is positive. From that point, if you drop an altitude to the negative x axis, you have a right triangle with a base measure of -2, a height of 5 and a hypotenuse that is unknown as of right now. We will find it using Pythagorean's Theorem. $5^2+(-2)^2=c^2$

The length of the hypotenuse is √29. That means that the cosine of that angle is the side adjacent over the hypotenuse. Rationalizing the denominator gives us $-\frac{2\sqrt{29} }{29}$

6 0

3 years ago