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____ [38]
2 years ago
15

A volleyball has a surface area of 1 465cm^2 Calculate the volume of five volleyballs. Round your answer to the nearest THOUSAND

.
Mathematics
1 answer:
Dmitriy789 [7]2 years ago
8 0

The volume of five volleyballs is 26310.15 cubic cm if the volleyball has a surface area of 1465 square cm.

<h3>What is a sphere?</h3>

It is defined as three-dimensional geometry when half-circle two-dimensional geometry is revolved around the diameter of the sphere that will form.

We know the surface area of the sphere is given by:

SA = 4πr²

1465 = 4πr²

r = 10.79 cm

Volume of the sphere = 4πr³/3

V = 4π(10.79)³/3

V = 5262.03 cubic cm

Volume of five volleyballs = 5×5262.03 = 26310.15 cubic cm

Thus, the volume of five volleyballs is 26310.15 cubic cm if the volleyball has a surface area of 1465 square cm.

Learn more about the sphere here:

brainly.com/question/11374994

#SPJ1

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5 0
3 years ago
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A pumpkin is launched from the top of a 20 foot tall platform at an initial velocity of 84 feet per second. The height, h, of th
Gennadij [26K]
<h2>Explanation:</h2>

In this problem we have a pumpkin is launched from the top of a 20 foot tall platform at an initial velocity of 84 feet per second. So the height, h, of the pumpkin at time t seconds after the launch can be modeled by the equation:

h(t) = -16t^2 + 84t + 20

So this is the equation of a parabola. The maximum of this parabola occurs at its vertex. So let's find this vertex:

\text{The x-value of the vertex is}: \\ \\ t=-\frac{b}{2a} \\ \\ \\ Where: \\ \\ a=-16 \\ \\ b=84 \\ \\ c=20 \\ \\ \\ t=-\frac{84}{2(-16)} \\ \\ t=-\frac{84}{-32} \\ \\ t=\frac{21}{8}=2.625 \\ \\ h(2.625)=-16(2.625)^2+84(2.625)+20 \\ \\ h(2.625)=-110.25+220.5+20 \\ \\ h(2.625)=130.25m

Finally, the maximum occurs at time 2.625 seconds when the height is 130.25m

8 0
3 years ago
Please Answer This Math Question? Here it is:; There was a typo thank you for saying that its Mrs. Gorski bought a table and 6 c
SCORPION-xisa [38]
So you'd do 980 - 524 = $456, and then 456 ÷ 6 = $76, which is the cost of 1 chair. We already know that 1 table is $524, so if you want 2 tables and 8 chairs you'd do (524 × 2) + (76 × 8), which is 1048 + 608 = $1656, which is your answer. I hope this helps!
6 0
3 years ago
55. The sum of an infinite geometric series is five times the value of the first term. What is the common ratio of the series?
myrzilka [38]

Answer:

r = 4/5

Step-by-step explanation:

Formula

Sum of an infinite geometric series = a / (1 - r)

Givens

Sum = 5*a

a = a

r = ?

Solution

5a = a/(1 - r)                   Divide both sides by a

5a/a = a / (a * (1 - r)       The a's on the right cancel

5 = 1 / (1 - r)                    Multiply both sides by 1 - r

5*(1 - r) = 1*(1 - r)/(1 - r)   The 1 - r s on the right cancel

5*(1 - r) = 1                     Remove the brackets.

5 - 5r = 1                        Subtract 5 from both sides

5-5 - 5r = 1 - 5               Combine

-5r = - 4                          Divide by - 5

r = 4/5  

8 0
2 years ago
Solve the inequality. Graph the solution.<br><br> −6n&gt;54
AysviL [449]

Answer:

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us an open circle on -9 pointing to the left

hope this helps

have a good day :)

Step-by-step explanation:

8 0
3 years ago
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