Mathematics
11.08.2022 20:18
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Ronald collects rain water in cylindrical barrels on his ranch and he wants to know

Ronald collects rain water in cylindrical barrels on his ranch and he wants to know how much water his barrels will hold. Two of the dimensions for the barrels are shown below.

Barrel A: height = 72 inches, radius = 24 inches

Barrel B: height = 36 inches, radius = 48 inches

Complete the following statements.

Use 3.14 for pi.

The volume of Barrel A is __ cubic inches.

The volume of Barrel B is __ cubic inches.

The volume of Barrel A is __ the volume of Barrel B.
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winterblanco
winterblanco
4,4(5 marks)

Step-by-step explanation:

Barrel A : height = 72 inches, radius = 24 inches

Volume of Barrel A is :

V_A=\pi r^2h\\\\V_A=3.14\times (24)^2\times 72\\\\V_A=130222.08\ in^3            

Barrel B : height = 36 inches, radius = 48 inches

Volume of Barrel B is :

V_B=\pi r^2h\\\\V_B=3.14\times (48)^2\times 36\\\\V_B=260444.16\ in^3

Taking \dfrac{V_B}{V_A}.

\dfrac{V_B}{V_A}=\dfrac{260444.16}{130222.08}\\\\\dfrac{V_B}{V_A}=2\\\\V_A=\dfrac{1}{2}\times V_B

So, the volume of Barrel A is half of the volume of Barrel B.

queenasiaa14
queenasiaa14
4,7(87 marks)
It is C I am pretty surethat it is that thank for letting me help you.

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