Thank you for visiting A can has a radius of 2 inches and a volume of 62 8 cubic inches Find the height of the can The formula for. This page is designed to guide you through key points and clear explanations related to the topic at hand. We aim to make your learning experience smooth, insightful, and informative. Dive in and discover the answers you're looking for!
Answer :
ANSWER
The height of the cylinder is,
[tex]h=5inches[/tex]
EXPLANATION
The volume of a cylinder can be found using the formula,
[tex]V = \pi {r}^{2} h[/tex]
To make h the subject, we divide through by
[tex] \pi \: {r}^{2} [/tex]
This will give us,
[tex] \frac{V}{ \pi \: {r}^{2} } = h[/tex]
We now substitute
[tex]V=62.8 [/tex]
[tex]r = 2[/tex]
and
[tex] \pi = 3.14[/tex]
into the given expression for h to obtain,
[tex]h = \frac{62.8}{3.14 \times {(2)}^{2} } [/tex]
We simplify to get,
[tex]h = \frac{62.8}{12.56} [/tex]
[tex]h = 5[/tex]
Therefore the height of the cylinder is 5 inches.
The height of the cylinder is,
[tex]h=5inches[/tex]
EXPLANATION
The volume of a cylinder can be found using the formula,
[tex]V = \pi {r}^{2} h[/tex]
To make h the subject, we divide through by
[tex] \pi \: {r}^{2} [/tex]
This will give us,
[tex] \frac{V}{ \pi \: {r}^{2} } = h[/tex]
We now substitute
[tex]V=62.8 [/tex]
[tex]r = 2[/tex]
and
[tex] \pi = 3.14[/tex]
into the given expression for h to obtain,
[tex]h = \frac{62.8}{3.14 \times {(2)}^{2} } [/tex]
We simplify to get,
[tex]h = \frac{62.8}{12.56} [/tex]
[tex]h = 5[/tex]
Therefore the height of the cylinder is 5 inches.
Thank you for reading the article A can has a radius of 2 inches and a volume of 62 8 cubic inches Find the height of the can The formula for. We hope the information provided is useful and helps you understand this topic better. Feel free to explore more helpful content on our website!
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Rewritten by : Jeany
By rearranging the formula for the volume of a cylinder to solve for height, and substituting the given values for volume and radius, we find that the height of the can is 5 inches.
To solve for the height h of the cylinder, we need to rearrange the formula for the volume of a cylinder, V =
2h, to solve for h. This is done by dividing both sides of the equation by
2, thus isolating h on one side of the equation.
The rearranged formula becomes:
h = V / (2)
Using the given volume of the can, 62.8 cubic inches, and the given radius of 2 inches, we plug these values into our formula:
h = 62.8 / (3.14 × 2²)
h = 62.8 / (3.14 × 4)
h = 62.8 / 12.56
h = 5 inches
Therefore, the height of the can is 5 inches.
