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emmainna [20.7K]
2 years ago
6

A cube fits perfectly in a sphere. If the cube has a side length of 10cm, what is the volume of the sphere? Round your answer to

the nearest hundredth (2 decimal places) or leave your answer in Pi form
Mathematics
1 answer:
Goryan [66]2 years ago
3 0

Answer:

Step-by-step explanation:

Since the cube fits perfectly in the sphere, it means that the diagonal of the cube will form the diameter of the sphere. In a cube, all sides are equal. To determine the length of its diagonal, d, we would apply Pythagoras theorem which is expressed as

Hypotenuse² = opposite side² + adjacent side²

Therefore,

d² = 10² + 10² = 200

d = √200 = 14.14cm

Formula for finding the volume of a sphere is expressed as

Volume = 4/3 × π × r³

Radius of sphere = diameter/2 = 14.14/2 = 7.07cm

Volume = 4/3 × π × 7.07³ = 471.19π cm³

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kkurt [141]

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A.   6 Large taxis = 42 seats 9 Small taxis = 36 seats = 78  seats in total

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    C.  5 Large taxis and 10 Small taxis

Step-by-step explanation:

A.   6 Large taxis = 42 seats 9 Small taxis = 36 seats = 78  seats in total

If I did 8 small taxis the total number of seats would be 74, so I did one small taxi more to make it fair. There would be seats for everyone but 3 seats extra

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    C.  5 Large taxis and 10 Small taxis

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3 0
3 years ago
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8 0
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Fifteen 2 inch nails weigh 35 grams. How many of these nails weigh 175 grams? Can you explain how to do this please thankyou so
polet [3.4K]
Solving:

1) Pass: Make the rule three (Directly proportional) 

Two inch nails ______ grams (<span>Weight)
</span>15 ----------------------------35
n ----------------------------- 175

2) Pass: <span>Multiply cross
</span>
35*n = 15*175

3) Pass: Simplify
35*n = 15*175
35n = 2625
n =  \frac{2625}{35}
\boxed{n = 75}

Answer:
75 nails weigh 175 grams



8 0
3 years ago
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