4. A cylindrical can has a radius of 5.5 cm and a height of 8 cm . What is the capacity of the can?

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UpStudy AI · Accepted Answer

To find the capacity of the cylindrical can, we need to calculate the volume of the cylinder. The formula for the volume of a cylinder is given by:

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

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

Given:
- Radius ($$ r $$) = 5.5 cm
- Height ($$ h $$) = 8 cm

Substitute the given values into the formula to find the volume of the cylinder.
Calculate the value by following steps:
- step0: Calculate:
  $$\pi \times 5.5^{2}\times 8$$
- step1: Convert the expressions:
  $$\pi \left(\frac{11}{2}\right)^{2}\times 8$$
- step2: Multiply the terms:
  $$\frac{121\pi }{4}\times 8$$
- step3: Reduce the numbers:
  $$121\pi \times 2$$
- step4: Multiply the terms:
  $$242\pi $$
The capacity of the cylindrical can is approximately 760.27 cm³.
The capacity of the cylindrical can is approximately 760.27 cm³.

A cylindrical can has a
radius of 5.5 cm and a height
of 8 cm . What is the capacity
of the can?

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