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3 years ago

Find the volume of a cylinder with a radius of 3 cm and a height of 7 cm.

Mathematics

1 answer:

yuradex [85]3 years ago

3 0

Answer:

197.92 cm

Step-by-step explanation:

The formula to find volume for a cylinder is V=πr^{2}h

The problem gave you the height (h): 7cm and the radius (r): 3cm and pi (π) is a constant that will automatically insert when you use the "π" button in a calculator

Now that you know that you have all your variables, you can now plug them into your formula.

V=π3^{2}7

Next, solve the equation.

V=π(9)(7)

V=π(63)

V=197.92cm

Hope this helped! :)

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1 year ago

Let f(x)=ln(3x)+2.5 .

Cerrena [4.2K]

For this case what we should do is evaluate the function in each of the points from 2 to 7 and then find the average.
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f (x) = ln (3x) +2.5.
f (2) = ln (3 * 2) + 2.5 = 4.291759469
f (3) = ln (3 * 3) + 2.5 = 4.697224577
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Then the average is:
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2 years ago

Read 2 more answers

PLEASE HURRY!! simplify completely show all work for full credit

Irina18 [472]

Answer:

$4x^{3}$

Step-by-step explanation:

Given:

$(\frac{192x^{12}}{3x^{3}} )^{\frac{1}{3}}$

Apply exponent rule of distribution:

$\frac{(192x^{12})^{\frac{1}{3}}}{(3x^{3})^{\frac{1}{3}}}$

Simplify the numerator:

$\\\\\frac{4 * 3^{\frac{1}{3}}x^{4}}{(3x^{3})^{\frac{1}{3}}}$

Simplify the denominator:

$\\\frac{4 * 3^{\frac{1}{3}}x^{4}}{3^\frac{1}{3}x}}$

Simplify:

$4x^{3}$

-> To explain this party since it is a bigger jump, $3^{\frac{1}{3}}x$ is on the top and the bottom, so it becomes a one. We are left with a four on the top, and using properties of exponents 4 - 1 = 3, explaining why we have $x^{3}$ leftover too.

Have a nice day!

I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)

- Heather

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2 years ago