Question 3
A cylindrical soup can has a radius of 1.5 in . and is 5.9 in . tall. Find the volume of the can.
Round your answer to the nearest tenth if necessary.
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Question 3 A cylindrical soup can has a radius of 1.5 in . and is 5.9 in . tall. Find the volume of the can. Round your answer to the nearest tenth if necessary. Submit Question

UpStudy AI · Accepted Answer

To find the volume of the cylindrical soup can, we can use the formula for the volume of a cylinder:

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

where:
- $$ V $$ is the volume of the cylinder,
- $$ r $$ is the radius of the cylinder,
- $$ h $$ is the height of the cylinder.

Given:
- Radius ($$ r $$) = 1.5 inches
- Height ($$ h $$) = 5.9 inches

Substitute the given values into the formula:

$$ V = \pi (1.5)^2 (5.9) $$

Now, we can calculate the volume of the cylindrical soup can.
Calculate the value by following steps:
- step0: Calculate:
  $$\pi \times 1.5^{2}\times 5.9$$
- step1: Convert the expressions:
  $$\pi \left(\frac{3}{2}\right)^{2}\times 5.9$$
- step2: Multiply the terms:
  $$\frac{9\pi }{4}\times 5.9$$
- step3: Convert the expressions:
  $$\frac{9\pi }{4}\times \frac{59}{10}$$
- step4: Multiply the fractions:
  $$\frac{9\pi \times 59}{4\times 10}$$
- step5: Multiply the terms:
  $$\frac{531\pi }{4\times 10}$$
- step6: Multiply the terms:
  $$\frac{531\pi }{40}$$
The volume of the cylindrical soup can is approximately 41.7 cubic inches. Rounding to the nearest tenth, the volume is 41.7 cubic inches.
The volume of the cylindrical soup can is approximately 41.7 cubic inches.

Question 3
A cylindrical soup can has a radius of 1.5 in . and is 5.9 in . tall. Find the volume of the can.
Round your answer to the nearest tenth if necessary.
Submit Question

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