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scoundrel [369]
3 years ago
8

Two spherical balloons are filled with water. The first balloon has a radius of 3 cm, and the second has a radius of 6 cm. How m

uch greater is the volume of water in the larger balloon than in the smaller balloon? Use 3.14 to approximate pi. Round to the nearest hundredth if necessary. Enter your answer in the box.
Mathematics
2 answers:
Iteru [2.4K]3 years ago
7 0

Answer:

791.28

Step-by-step explanation:

I just finished the test. The other answer was rounded wrong.

Fofino [41]3 years ago
4 0
The answer is 791.28 cm³ ≈ 791.3 cm³

To calculate this we need to calculate the volume of each balloon.
The volume of a sphere with radius r is:
V = 4/3 π r³

Balloon 1:
r1 = 3 cm
V1 = 4/3 * 3.14 * 3³
V1 = 113.04 cm³


Balloon 2:
r2 = 6 cm
V2 = 4/3 * 3.14 * 6³
V2 = 904.32 cm³

<span>How much more water is in the larger balloon than in the smaller balloon:
V2 - V1 = 904.32 cm</span>³ - 113.04 cm³
             = 791.28 cm³
             ≈ 791.3 cm³
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frosja888 [35]

Answer:

hello your question is incomplete attached below is the complete question

answer :

<em>Daniels sister is not correct because the time that will be taken by Daniel will be greater than the initial total time taken by Daniel.</em>

Step-by-step explanation:

<u>First determine the time it will take Daniel to reach the Boat and the jogging time</u>

time = distance / rate

where distance can be calculated using this equation: sin 53° = 400 / x

hence x ( distance ) = 500 ft

rate = 150

therefore Time ( t )  to reach boat = 500 / 150 = 3.33 minutes

Time for jogging ( as calculated ) = 3.69 minutes

therefore total time taken by Daniel = 3.33 + 3.69 = 7.02 minutes

<u>Finally determine if Daniel's sister is correct that he should have swam to the boat ramp and then jogged </u>

lets assume Distance to swim  =  x  ( according his sister )

determine the value of x = \sqrt{400^2 + 1400^2 }   therefore X = 1456.02 feet

∴

Total time to be taken if Daniel follows his sister's instruction  = 1456.02 / 150 = 9.71 minutes

<em>Daniels sister is not correct because the time that will be taken by Daniel will be greater than the initial total time taken by Daniel.</em>

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6 0
3 years ago
A triangle has sides 11 cm, 16 cm and 7 cm. the largest angles has size of x. calculate X. Round your answer to the nearest degr
marishachu [46]

Answer:

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Step-by-step explanation:

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4 0
3 years ago
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4 years ago
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