find the volume. round to hundredths.
35. diagram of a pyramid with 4\ height, 3\ base, 3\ side
36. diagram of a cone with 7 yd height, 5 yd radius
37. diagram of a cylinder with 6 radius, 10 height
add or subtract the times.
38.
$\begin{array}{r} 7:18 \ - 3:05 \ hline end{array}$
39.
$\begin{array}{r} 2:44 \ + 1:59 \ hline end{array}$
40.
$\begin{array}{r} 0136 \ + 0438 \ hline end{array}$

Question

Accepted Answer

### Problem 35: Volume of a Pyramid
# Explanation:
## Step 1: Identify the formula for the volume of a pyramid
The formula for the volume $ V $ of a pyramid is $ V = \frac{1}{3}Bh $, where $ B $ is the area of the base and $ h $ is the height.
## Step 2: Calculate the area of the base
The base is a square with side length $ 3 $ inches. The area of a square is $ B = s^2 $, so $ B = 3^2 = 9 $ square inches.
## Step 3: Substitute the values into the volume formula
The height $ h $ is $ 4 $ inches. Substituting $ B = 9 $ and $ h = 4 $ into the formula: $ V = \frac{1}{3} \times 9 \times 4 $.
## Step 4: Calculate the volume
$ \frac{1}{3} \times 9 = 3 $, then $ 3 \times 4 = 12 $. So the volume is $ 12 $ cubic inches.
# Answer:
$ 12.00 $ cubic inches

### Problem 36: Volume of a Cone
# Explanation:
## Step 1: Identify the formula for the volume of a cone
The formula for the volume $ V $ of a cone is $ V = \frac{1}{3}\pi r^2 h $, where $ r $ is the radius and $ h $ is the height.
## Step 2: Substitute the values into the formula
The radius $ r = 5 $ yards and the height $ h = 7 $ yards. Substituting these values: $ V = \frac{1}{3} \times \pi \times 5^2 \times 7 $.
## Step 3: Calculate the volume
First, calculate $ 5^2 = 25 $. Then, $ \frac{1}{3} \times \pi \times 25 \times 7 = \frac{175\pi}{3} \approx \frac{175 \times 3.1416}{3} \approx \frac{549.78}{3} \approx 183.26 $.
# Answer:
$ 183.26 $ cubic yards

### Problem 37: Volume of a Cylinder
# Explanation:
## Step 1: Identify the formula for the volume of a cylinder
The formula for the volume $ V $ of a cylinder is $ V = \pi r^2 h $, where $ r $ is the radius and $ h $ is the height.
## Step 2: Substitute the values into the formula
The radius $ r = 6 $ feet and the height $ h = 10 $ feet. Substituting these values: $ V = \pi \times 6^2 \times 10 $.
## Step 3: Calculate the volume
First, calculate $ 6^2 = 36 $. Then, $ \pi \times 36 \times 10 = 360\pi \approx 360 \times 3.1416 \approx 1130.97 $.
# Answer:
$ 1130.97 $ cubic feet

### Problem 38: Subtract the Times
# Explanation:
## Step 1: Subtract the minutes
Subtract the minutes: $ 18 - 5 = 13 $ minutes.
## Step 2: Subtract the hours
Subtract the hours: $ 7 - 3 = 4 $ hours.
# Answer:
$ 4:13 $

### Problem 39: Add the Times
# Explanation:
## Step 1: Add the minutes
Add the minutes: $ 44 + 59 = 103 $ minutes. Since $ 103 $ minutes is $ 1 $ hour and $ 43 $ minutes (because $ 103 \div 60 = 1 $ with a remainder of $ 43 $).
## Step 2: Add the hours and the carryover
Add the hours: $ 2 + 1 + 1 = 4 $ hours (the extra $ 1 $ is from the minutes conversion).
# Answer:
$ 4:43 $

### Problem 40: Add the Numbers
# Explanation:
## Step 1: Align the numbers by place value
```
  0136
+ 0438
------
```
## Step 2: Add the digits column by column
- Units place: $ 6 + 8 = 14 $, write down $ 4 $, carry over $ 1 $.
- Tens place: $ 3 + 3 + 1 = 7 $, write down $ 7 $.
- Hundreds place: $ 1 + 4 = 5 $, write down $ 5 $.
- Thousands place: $ 0 + 0 = 0 $, write down $ 0 $.
# Answer:
$ 0574 $ (or $ 574 $)

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QUESTION IMAGE

Question

Explanation:

Problem 35: Volume of a Pyramid

Step 1: Identify the formula for the volume of a pyramid

Step 2: Calculate the area of the base

Step 3: Substitute the values into the volume formula

Step 4: Calculate the volume

Step 1: Identify the formula for the volume of a cone

Step 2: Substitute the values into the formula

Step 3: Calculate the volume

Step 1: Identify the formula for the volume of a cylinder

Step 2: Substitute the values into the formula

Step 3: Calculate the volume

Answer:

Problem 36: Volume of a Cone