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3 years ago

What is the exact volume of the cylinder?

Mathematics

1 answer:

enyata [817]3 years ago

6 0

Answer:

Step-by-step explanation:

The formula for the volume of a cylinder is V = πr²h.

Here, r = 5cm, and h = 15 cm, and so the volume is:

V = πr²h = π(5 cm)²(15 cm), or:

V = π(25 cm²)(15 cm) = 375π cm³, or approximately 1170 cm³

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Need help with my homework

Volgvan

Answer:

$\displaystyle y=\frac{16-9x^3}{2x^3 - 3}$

$\displaystyle y=-\frac{56}{13}$

Step-by-step explanation:

<u>Equation Solving</u>

We are given the equation:

$\displaystyle x=\sqrt[3]{\frac{3y+16}{2y+9}}$

To make y as a subject, we need to isolate y, that is, leaving it alone in the left side of the equation, and an expression with no y's to the right side.

We have to make it in steps like follows.

Cube both sides:

$\displaystyle x^3=\left(\sqrt[3]{\frac{3y+16}{2y+9}}\right)^3$

Simplify the radical with the cube:

$\displaystyle x^3=\frac{3y+16}{2y+9}$

Multiply by 2y+9

$\displaystyle x^3(2y+9)=\frac{3y+16}{2y+9}(2y+9)$

Simplify:

$\displaystyle x^3(2y+9)=3y+16$

Operate the parentheses:

$\displaystyle x^3(2y)+x^3(9)=3y+16$

$\displaystyle 2x^3y+9x^3=3y+16$

Subtract 3y and $9x^3$ :

$\displaystyle 2x^3y - 3y=16-9x^3$

Factor y out of the left side:

$\displaystyle y(2x^3 - 3)=16-9x^3$

Divide by $2x^3 - 3$ :

$\mathbf{\displaystyle y=\frac{16-9x^3}{2x^3 - 3}}$

ii) To find y when x=2, substitute:

$\displaystyle y=\frac{16-9\cdot 2^3}{2\cdot 2^3 - 3}$

$\displaystyle y=\frac{16-9\cdot 8}{2\cdot 8 - 3}$

$\displaystyle y=\frac{16-72}{16- 3}$

$\displaystyle y=\frac{-56}{13}$

$\mathbf{\displaystyle y=-\frac{56}{13}}$

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3 years ago

The grid shows the positions of a subway stop in your house does subway stop is located at The grid shows the positions of a sub

professor190 [17]

Answer:

I need a picture to solve...

Step-by-step explanation:

3 0

3 years ago

What is the next number in the sequence? 7….10….16….28…?

alexira [117]

I think that 52 is next number

5 0

3 years ago

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Mr. Cipalla bought 5 pounds of clay for an art project. He paid $35.35 for clay. What is the unit price per pound of the clay he

Marrrta [24]

Answer:

$7.07

Step-by-step explanation:

35.35/5=7.07

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3 years ago

Find the sine of both angle A and angle B.

olchik [2.2K]

Sin = opposite/hyp

Sin A = 10/26 = 5/13

Sin b = 24/26 = 12/13

The answer is option A

Hope this helps

6 0

4 years ago

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