MATHEMATICS HIGH SCHOOL

What is the volume of a sphere with a surface area of 25π yd2?

Answers

Answer 1
Answer:

Answer:

The volume of sphere is:

                            65.4167 yd^3

Step-by-step explanation:

We are given surface area of sphere as:

Area=25\pi\ \text{yd^2}

We know that the surface area of sphere of radius ''r'' is given by the formula:

Area=4\pi r^2

i.e. we have:

4\pi r^2=25\pi\n\ni.e.\n\nr^2=(25)/(4)\n\n\nr^2=(\ddfrac{5}{2})^2\n\ni.e.\n\nr=\pm (5)/(2)

As we know that the radius of a circle can't be negative.

Hence,

r=(5)/(2)\ \text{yd}

Now the volume of sphere is given by:

Volume=(4)/(3)\pi r^3\n\ni.e.\n\nVolume=(4)/(3)\pi ((5)/(2))^3\n\ni.e.\n\nVolume=65.4167\ \text{yd^3}

                  Volume of sphere is:

                         65.4167 yd^3
Answer 2
Answer: V=11.75 Thats the volume 

Related Questions

A man's regular pay is $3 per hour up to 40 hours. Overtime is twice the payment for regular time If he was paid $168, how many hours overtime did he work?
10.) Sally cooks 6 pies and each pie is cut into 8 pieces. If she sells 36 pieces, what percentage did she sell
1. f(x) = x + 5, f(x) = 9
Solve for x.3(x + 5) - 2(x + 2) = 20
Solve for p, w = Q+P-------Q-QP

Rearrange the equation so b is the independent variable..
a – 7 = 3(b +2)
a =

Answers

The equation is rearranged with b as the independent variable, and the expression for a is a = 3b + 13.

To rearrange the equation so that b is the independent variable, we need to solve for a in terms of b. Here's how you can do it step-by-step:

Given equation: a - 7 = 3(b + 2)

Step 1: Distribute the 3 on the right side.

a - 7 = 3b + 6

Step 2: Move the constant term (-7) to the right side by adding 7 to both sides of the equation.

a = 3b + 6 + 7

Step 3: Simplify the right side.

a = 3b + 13

Now, the equation is rearranged with b as the independent variable, and the expression for a is a = 3b + 13.

To know more about equation click here :

brainly.com/question/11802861

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Answer:

a = 3b+13

Step-by-step explanation:

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Answers

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The answer is B?amandiodosoenwjdid

-3m - [2m + (5 - m)] + 7 was simplified as 2 - 4m. Without simplifying, explain how you can show that it has been simplified correctly.

Answers

Answer:

the answer and explanation is in the picture

Step-by-step explanation:

hope this helps

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A pair of equations is shown below.3x − y = 9
y = −2x + 11

If the two equations are graphed, at what point do the lines representing the two equations intersect?
(4, 3)
(3, 4)
(9, 11)
(11, 9)

Answers

Answer:

Hence, the two equations intersect at:

(4,3)

Step-by-step explanation:

We are given:

A pair of equations:

3x − y = 9

y = −2x + 11

now, on graphing these equations.

as we can clearly see from the graph the two lines intersect at (4,3)

Hence, the two equations intersect at:

(4,3)
3x − y = 9
y = −2x + 11

3x − (−2x + 11) = 9
3x + 2x - 11 = 9
5x = 9 + 11
5x = 20
x = 4

y = −2x + 11 = -2*4+11 = 3

(4, 3)

Simplify $(1-3i)(1-i)(1+i)(1+3i)$

Answers

(1-3i)(1-i)(1+i)(1+3i)=\n(1^2-(3i)^2)(1^2-i^2)=\n(1+9)(1+1)=\n10\cdot2=20

Answer:

\huge\boxed{(1-3i)(1-i)(1+i)(1+3i)=20}

Step-by-step explanation:

(1-3i)(1-i)(1+i)(1+3i)\n\n\text{use the commutative property}\n\n=(1-3i)(1+3i)(1-i)(1+i)\n\n\text{use the associative property}\n\n=\bigg[(1-3i)(1+3i)\bigg]\bigg[(1-i)(1+i)\bigg]\n\n\text{use}\ (a-b)(a+b)=a^2-b^2\n\n=\bigg[1^2-(3i)^2\bigg]\bigg[1^2-i^2\bigg]\n\n=\bigg(1-9i^2\bigg)\bigg(1-i^2\bigg)\n\n\text{use}\ i=√(-1)\to i^2=-1\n\n=\bigg(1-9(-1)\bigg)\bigg(1-(-1)\bigg)\n\n=\bigg(1+9\bigg)\bigg(1+1\bigg)\n\n=(10)(2)\n\n=20

Find the probability of rolling two dice and getting two odd numbersA.50%
B.5.5%
C.25%
D.2.7%

Answers

One die has 6 numbers, 3 of which which are odd. That means each roll has a 50% chance of being odd.

To find the probability of rolling TWO odd numbers, we can multiply the 0.5 chance per roll by 2 to get:

0.5 * 0.5 = 0.25 or 25%

If you visualize the question, we have 4 possibilities:

Roll 1 is even and roll 2 is even.

Roll 1 is even and roll 2 is odd.

Roll 1 is odd and roll 2 is even.

Roll 1 is odd and roll 2 is odd.

Only 1 of the 4 possibilities results in both rolls being odd.
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