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2 years ago

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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What is greater 4/9 or 1/2?

leonid [27]

Since 4/9 in decimal form is 0.44444
and 1/2 in decimal form is 0.5

0.4444<0.5
1/2 is greater than 4/9

Hope this helped!

8 0

3 years ago

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Suppose 20 rabbits are taken to an island. the rabbit population then triples every year. the function f(x)

Zanzabum

$f(x) = 20*3^x$ $f(x) = 20*3^x$

hope this helps!

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5 0

3 years ago

‼️GEOMETRY‼️

ella [17]

Answer:

A.) 1018 square inches

Step-by-step explanation:

The largest sphere will have a diameter equaling the length of the cube (see picture).

If the side length of the cube is 18 inches, the diameter of the sphere is also 18 inches. Use the surface area formula for a circle:

$SA=4\pi r^2$

For this formula, we need the radius of the sphere. Divide the diameter by 2:

$\frac{18}{2}=9$

The radius is 9 inches. Plug this into the equation:

$SA=4\pi *9^2$

Simplify the equation:

$SA=4\pi *81\\\\SA=324\pi \\\\SA=1017.87$

Round the result to the nearest whole number:

$1017.87$ → $1018$

The surface area is 1,018 inches².

:Done

Picture:

In a 2D version, we can clearly see that if the circle fits snuggly inside of the square, the diameter of a sphere is the same as the length of a side of the cube.

6 0

3 years ago

Casey wants to buy a gym membership. Gym A has a $50 joining fee & costs $40 per month. Gym B has no joining fee & cost

weqwewe [10]

Answer:

1; after 2 months

2; $130

Step-by-step explanation:

In this question, we are trying to compare the fees to be paid in two different gyms, to determine when the amount paid would be equal and also what this amount would be.

Now since we do not know the exact number of months, we can represent this unknown by x

so mathematically, at the end of m months, at the first gym , Casey would have paid a total of 50 + 40m

For the second gym, at the end of the second month, casey would have paid a total of 65m only

now we need to know when these fees would be the same. we simply equate what we have on both ends

mathematically, that is 50 + 40m = 65m

65m-40m = 50

25m = 50

m = 50/25

m = 2 months

The fees to be paid is

50 + 40(2) = 65(2) = $130

4 0

3 years ago

HELP PLEASE! I don't understand and have been stuck on this problem for a whole hour. Please explain. Also, none of the answers

Lyrx [107]

The altitude is the mean proportional between the left and right parts of the hyptenuse

$\cfrac{FI}{GI} = \cfrac{GI}{HI} \ \ \Rightarrow \ \ \cfrac{FI}{15} = \cfrac{15}{16} \ \ \Rightarrow \ \ FI= \cfrac{15 \cdot 15 }{16} \approx 14.1$

Answer: 14.1

5 0

3 years ago

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