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4 years ago

Write the equation of a circle with its center at (0, 0) and a radius of 3.

1 answer:

8 0

The answer is x^2 + y^2 = 9

For this problem, you should use the equation of circle:

(x - h) ^2 + (y - k)^2 = r^2

where (h,k) is the coordinates of the center
and r is radius

(x - 0) ^2 + (y - 0)^2 = 3^2

Therefore:

x^2 + y^2 = 9

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A sphere and a cylinder have the same radius and height. The volume of the cylinder is 27 xft?

attashe74 [19]

Answer:

Volume of sphere = $\frac{2}{3}(27\pi) ft^3$

Step-by-step explanation:

We are given that

Radius of sphere=Radius of cylinder=r

Height of sphere=Height of cylinder=h

Height of sphere=h=Diameter of sphere=2r

Volume of cylinder= $27\pi ft^3$

Volume of cylinder= $\pi r^2 h$

Using the formula

Volume of cylinder= $\pi r^2(2r)=2\pi r^3=27\pi$

Volume of sphere= $\frac{4}{3}\pi r^3$

Using the formula

Volume of sphere= $\frac{2}{3}\times 2\pi r^3=\frac{2}{3}(27\pi)$

Hence, the volume of sphere = $\frac{2}{3}(27\pi) ft^3$

6 0

3 years ago

How do you Expand 2(z+3)??????????????

9966 [12]

Answer:

2z+6

Step-by-step explanation:

you just multiply the z and 3 by 2.

8 0

2 years ago

Read 2 more answers

Please help!!!!!!!!!!!!!

Strike441 [17]

$3x + y = 10 \\ 3x + (x - 2) = 10 \\ 3x + x - 2 = 10 \\ 4x - 2 = 10 \\ 4x = 12 \\ x = 3 \\ \\ 3(3) + y = 10 \\ 9 + y = 10 \\ y = 1$
(3,1)

6 0

4 years ago

Read 2 more answers

How do you solve this math equation<br> -2|3x+1|+4=-10

Ierofanga [76]

The Absolute value bars act as the P in PEMDAZ (The P = Parenthesis but it really just means any containing symbols ( (), {}, [], || ) so you distrubute -2 into the bars resulting in the numbers becoming negative then you follow the steps down :)

4 0

3 years ago

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How do you work out this problem?

drek231 [11]

What is your question?

8 0

3 years ago