Question

a jar in the form of a cylinder has a radius of 19 inches and a height of 45 inches.
what is the volume of the jar in cubic inches? (use $\pi = 3.14$)
round the answer to two decimal places if necessary.

Explanation:

Step1: Recall cylinder volume formula

The volume \( V \) of a cylinder is given by the formula \( V = \pi r^2 h \), where \( r \) is the radius and \( h \) is the height.

Step2: Substitute given values

Here, \( r = 19 \) inches, \( h = 45 \) inches, and \( \pi = 3.14 \). Substitute these into the formula:
\( V = 3.14 \times (19)^2 \times 45 \)

Step3: Calculate \( (19)^2 \)

\( 19^2 = 361 \)

Step4: Multiply the values

First, multiply \( 3.14 \times 361 \): \( 3.14 \times 361 = 1133.54 \)
Then, multiply by 45: \( 1133.54 \times 45 = 51009.3 \)

Answer:

\( 51009.30 \) (or \( 51009.3 \) since the decimal part is zero, but rounded to two decimal places is \( 51009.30 \))