What is the expression for the volume of the cylinder?

Mathematics

1 answer:

gulaghasi [49]4 years ago

6 0

9xπ ft³

The volume (V) of a cylinder is calculated using the formula

V = area of base × height

The volume of the oblique cylinder is the same as the volume of the right cylinder

Tilting the cylinder over does not change the volume, imagine tilting a tin of beans, the volume is unchanged

V = 9xπ ft³

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Find the area of the shaded region. Round your answer to the nearest tenth if needed.

user100 [1]

Answer:

140 inches

Step-by-step explanation:

Find the area of the square.

4 + 10 = 14 (Length)

11 + 4 = 15 (Breadth/Width)

Area = 14 x 15 = 210 inches

Find the area of the 2 unshaded squares in the square.

Area of square at the top = 4 x 4 = 16 inches

Area of square at the bottom = 6 x 9 = 54 inches

Add the 2 squares of the area together.

16 + 54 = 70 inches

Now deduct the area of the huge box by the area of the 2 unshaded squares.

210 - 70 = 140 inches

7 0

3 years ago

Nine less than five times a number is equal to -30

disa [49]

To solve this question, we can start to set up an equation using what the question is telling us. Since we don't know what the number is, let's make it equal to x.

The phrase "5 times a number" means that we're multiplying our unknown, x, by 5. That is equal to 5x. 9 less than that would be 5x - 9. Since we know that it's equal to -30, we can solve.

5x - 9 = -30

Get all terms with x on one side and the constants on the other

5x - 9 +9 = -30 + 9

Simplify

5x = -21

Now, we can divide both sides by 5 to get our answer of x = - $\frac{21}{5}$