Question

try it yourself! calculate the volume of each cylinder. use 3.14 for π.
2 cm
5 cm
7 in.
3 in.
v≈
v≈
7 ft.
9 ft.
6 in.
17 in.

Explanation:

First Cylinder (2 cm radius, 5 cm height)

Step1: Recall the formula for the volume of a cylinder, \( V = \pi r^2 h \), where \( r \) is the radius and \( h \) is the height.

Step2: Substitute \( r = 2 \) cm, \( h = 5 \) cm, and \( \pi = 3.14 \) into the formula.

\( V = 3.14 \times (2)^2 \times 5 \)

Step3: Calculate \( (2)^2 = 4 \).

\( V = 3.14 \times 4 \times 5 \)

Step4: Multiply \( 3.14 \times 4 = 12.56 \).

\( V = 12.56 \times 5 \)

Step5: Multiply \( 12.56 \times 5 = 62.8 \).

Step1: Use the volume formula \( V = \pi r^2 h \).

Step2: Substitute \( r = 3 \) in, \( h = 7 \) in, and \( \pi = 3.14 \).

\( V = 3.14 \times (3)^2 \times 7 \)

Step3: Calculate \( (3)^2 = 9 \).

\( V = 3.14 \times 9 \times 7 \)

Step4: Multiply \( 3.14 \times 9 = 28.26 \).

\( V = 28.26 \times 7 \)

Step5: Multiply \( 28.26 \times 7 = 197.82 \).

Step1: Apply the cylinder volume formula \( V = \pi r^2 h \).

Step2: Substitute \( r = 7 \) ft, \( h = 9 \) ft, and \( \pi = 3.14 \).

\( V = 3.14 \times (7)^2 \times 9 \)

Step3: Calculate \( (7)^2 = 49 \).

\( V = 3.14 \times 49 \times 9 \)

Step4: Multiply \( 3.14 \times 49 = 153.86 \).

\( V = 153.86 \times 9 \)

Step5: Multiply \( 153.86 \times 9 = 1384.74 \).

Answer:

\( 62.8 \) cubic centimeters

Second Cylinder (3 in radius, 7 in height)