Question

The volume of this cylinder is 1,481,276.16 cubic inches. What is the radius? (will mark brainliest)

Answer 1

Answer:

radius = 72.00 in (nearest hundredth)

Step-by-step explanation:

$\textsf{Volume of a cylinder}=\sf \pi r^2 h \quad\textsf{(where r is the radius and h is the height)}$

Given:

• Volume = 1,481,276.16 in³
• Height = 91 in
• π ≈ 3.14

Substituting the given values into the formula and solving for r:

$\implies \sf 1481276.16=3.14 \cdot r^2 \cdot 91$

$\implies \sf 1481276.16=285.74r^2$

$\implies \sf r^2=\dfrac{1481276.16}{285.74}$

$\implies \sf r^2=5184$

$\implies \sf r=\sqrt{5184}$

$\implies \sf r=72\:in$

Answer 2

Answer: radius : 72.00 inch

The following is a cylinder.

Volume of Cylinder: πr²h

Given following:

• volume: 1,481,276.16

• height: 91 inch

• π ≈ 3.14

• radius: r

Solve for radius:

$\rightarrow \sf \pi r^2h =V$

$\rightarrow \sf (3.14) r^2(91) =1,481,276.16$

$\rightarrow \sf r^2 =\dfrac{1,481,276.16 }{91(3.14)}$

$\rightarrow \sf r^2 =5184$

$\rightarrow \sf r=\sqrt{5184}$

$\rightarrow \sf r=72$