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ryzh [129]
2 years ago
15

The diameter of a basketball is 24 centimeters. find the volume of the basketball

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

Answer:

2304π cm³

Step-by-step explanation:

The formula for the volume of a sphere is: 4πr³/3

The equation gave us the diameter so we can find the radius right away: 24 ÷ 2 = 12

Plug the radius in to the formula:

4π12³/3 = (4×1728π)/3

= 6912π/3

= 2304π

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Can someone solve this
77julia77 [94]

Answer:

A ≈ 269.81 cm²

Step-by-step explanation:

This shape is a hexagon (it has 6 sides) so let's use the formula for the area of a hexagon.

A = \frac{3\sqrt{3} }{2} s^{2}

Where s is the length of the sides

Substitute:

A = \frac{3\sqrt{3} }{2} s^{2}

A = \frac{3\sqrt{3} }{2} 10^{2}

Solve:

A = \frac{3\sqrt{3} }{2} 10^{2}

A = \frac{3\sqrt{3} }{2} 100

Multiply the numerator:

A = \frac{3\sqrt{3} }{2} 100

A ≈ \frac{5.12 }{2} 100

(The numerator reflects a rounded number, but the actual calculations are exact)

Divide the fraction:

A ≈ \frac{5.12 }{2} 100

A ≈ 2.6(100)

Multiply:

A ≈ 2.6(100)

A ≈ 269.81 cm²

Therefore, the area is approximately 269.82 cubic centimeters.

6 0
3 years ago
Please help me with this question.
Rasek [7]
The answer is 4,000 ft squared because since the sides are 100 ft and 80ft then we need to multiply them which is 8,000 then divide that by 2 since it’s a triangle which is 4,000 ft squared.
6 0
3 years ago
Tell whether x and y are in a proportional relationship. Explain<br> your reasoning.
notsponge [240]
No because they 90 to 200 is 110 but 200 to 325 is 125

110 obviously does not equal 125
8 0
3 years ago
Evaluate: a) n!/(n-3)!<br>b) P(6,4)/4!​
telo118 [61]

Step-by-step explanation:

a).

n! is

n(n - 1)(n - 2)(n - 3)(n - 4).........(1)

(n-3)! is

(n - 3)(n - 4)(n - 5)..........(1)

If we divide the two, everything behind (n-3) will just cancel out so we would be left with only

(n)(n - 1)(n - 2)

So the answer to a is

n(n - 1)(n - 2)

b

Permutations formula of P(6,4) is

6!/(6-4)!, or 6!/2!.

\frac{6  \times 5 \times 4 \times 3 \times 2 \times 1}{2 \times 1}  = 360

Then we divide by 4!

\frac{360}{4 \times 3 \times 2 \times 1}  = 15

The answer to b is 15

3 0
2 years ago
Pls help me. its on khan academy​
ehidna [41]
i would think it’s 6
8 0
3 years ago
Read 2 more answers
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