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Lady_Fox [76]
2 years ago
13

Nuala is making a volcano for a science experiment. First, she constructs the cone. The circumference of its base is 125.6 inche

s. The height of the cone is 33 inches. What is the volume of Nuala's cone? Remember: C= pi x diameter
Mathematics
1 answer:
Reika [66]2 years ago
6 0

Answer:

34072.3 in³

Step-by-step explanation:

Step 1

The circumference of its base is 125.6 inches.

C= pi x diameter

Find the radius of the base

C/ π = Diameter

Diameter = 125.6 in/2

= 62.8 in

Step 2

The height of the cone is 33 inches.

Radius = Diameter/2

Radius = 62.8 in/2

= 31.4 in

Volume of a cone: V = (1/3)πr²h

= 1/3 × π × (31.4)² × 33

= 34072.33162 in³

Approximately = 34072.3 in³

Therefore, the volume of Nuala's cone is 34072.3 in³.

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A bicycle has a listed price of $519.99 before tax. If the sales tax rate is 7.75%, find the total cost of the bicycle with sale
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Answer:

$560.29

Step-by-step explanation:

To find the total price, first, find out how much of $519.99 is 7.75%

To do this convert %7.75 into a decimal [divide by 100]

7.75% = 0.0775

Now multiply 0.0775 by $519.99

519.99 x 0.0775 = 40.299225

Since 40.299225 is an amount of money, round it to the nearest hundreth in cents.

40.299225 = 40.30

Now add the sales tax and original price.

$40.30 + $519.99 = 560.29

So, the cost of the bicycle after sales tax is $560.29

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2 years ago
Which expression is equivalent to 2^5?
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Daniel [21]

Answer:

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Step-by-step explanation:

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