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3 years ago

A basketball has a diameter of 9.5 inches what is the volume of the basketball using 3.14 for pi.

Mathematics

1 answer:

Step2247 [10]3 years ago

7 0

Answer:

448.69 in^3

Step-by-step explanation:

The volume of a sphere is given by the formula ...

V = (4/3)πr^3

We want to use diameter, so we can substitute r = d/2 into the formula:

V = (4/3)π(d/2)^3 = (4/(3·8))πd^3

V = (π/6)d^3

For the given numbers, ...

V = (3.14/6)(9.5^3) ≈ 448.69 in^3 . . . . volume of a basketball

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Point R is on line segment QS. Given QS= 5x-2, QR= 3x-6, and RS=4x-2, determine the numerical length of RS.

pashok25 [27]

Answer:

The numerical length of RS is 10 units

Step-by-step explanation:

* Lets explain How to solve the problem

- Point R is on line segment QS

- The length of QS is (5x - 2)

- The length of QR is (3x - 6)

- The length of RS is (4x - 2)

- The length of QS is the sum of the lengths of QR and RS

∵ QS = QR + RS

∴ (5x - 2) = (3x - 6) + (4x - 2)

- Simplify the right hand side by adding like terms

∴ 5x - 2 = (3x + 4x) + (-6 + -2)

∴ 5x - 2 = 7x + -8 ⇒ (+)(-) = (-)

∴ 5x - 2 = 7x - 8

- Add 8 for both sides

∴ 5x + 6 = 7x

- Subtract 5x from both sides

∴ 6 = 2x

- Divide both sides by 2

∴ x = 3

- To find the length of RS substitute the value of x in its expression

∵ RS = 4x - 2

∵ x = 3

∴ RS = 4(3) - 2 = 12 - 2 = 10

∴ The numerical length of RS is 10 units

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