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.

Question

Accepted Answer

### First Cylinder (2 cm radius, 5 cm height)
# Explanation:
## 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 $.
# Answer:
$ 62.8 $ cubic centimeters

### Second Cylinder (3 in radius, 7 in height)
# Explanation:
## Step1: Use the volume formula for a cylinder, $ 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 $.
# Answer:
$ 197.82 $ cubic inches

### Third Cylinder (7 ft radius, 9 ft height)
# Explanation:
## 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:
$ 1384.74 $ cubic feet

### Fourth Cylinder (6 in radius, 17 in height)
# Explanation:
## Step1: Use the formula $ V = \pi r^2 h $ for the cylinder's volume.
## Step2: Substitute $ r = 6 $ in, $ h = 17 $ in, and $ \pi = 3.14 $.
$ V = 3.14 \times (6)^2 \times 17 $
## Step3: Calculate $ (6)^2 = 36 $.
$ V = 3.14 \times 36 \times 17 $
## Step4: Multiply $ 3.14 \times 36 = 113.04 $.
$ V = 113.04 \times 17 $
## Step5: Multiply $ 113.04 \times 17 = 1921.68 $.
# Answer:
$ 1921.68 $ cubic inches

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QUESTION IMAGE

Question

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.

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

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

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

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

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

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

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

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 \( \pi = 3.14 \).

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

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

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

Answer:

Second Cylinder (3 in radius, 7 in height)