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3 years ago

WHAT IS THE VOLUME OF WAX IN THE CANDLE SHAPED LIKE A CYLINDER

Mathematics

2 answers:

laiz [17]3 years ago

7 0

Problem 8

<h3>Answer: 28.3 cubic inches</h3>

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Work Shown:

V = pi*r^2*h

V = 3.14*(1.5)^2*4

V = 28.26

V = 28.3

Note how the radius r = 1.5 is half of the diameter 3 inches.

=========================================

Problem 9

<h3>Answer: 25.1 cubic inches</h3>

------------------------

Work Shown:

V = (1/3)*pi*r^2*h

V = (1/3)*3.14*2^2*6

V = 25.12

V = 25.1

galben [10]3 years ago

3 0

Answer:

for problem 8 it would be 28.3

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A plumbing supply company has fixed costs of $9,000 per month and average variable costs of $9.30 per unit manufactured. The com

nekit [7.7K]

Answer:

8710 units

Step-by-step explanation:

<em>Step 1: Write all the data</em>

Fixed cost: $9000

Average variable cost: 9.3 per unit

Total cost: 90,000

Total units: x

<em>Step 2: Find the total variable cost</em>

Average variable cost is per unit so it has to be multiplied by the number of units to find the total variable cost.

Total variable cost = average variable cost per unit x number of units

Total variable cost = 9.3x

<em>Step 3: Make the formula for finding x</em>

Total cost = total fixed cost + total variable cost

90,000 = 9000 + 9.3x

81000 = 9.3x

x = 8709.67

Rounded off to 8710 units

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3 years ago

The formula for the bowline of a sphere is V=4/3πr^3. solve for r

Tpy6a [65]

Answer:

$r=\sqrt[3]{\frac{3V}{4\pi}}$

Step-by-step explanation:

$v= \frac{4}{3} \pi r^3$

We need to isolate 'r'

To isolate 'r' , first multiply by 3 on both sides

$3v=4* \pi r^3$

divide by 4pi on both sides

$\frac{3V}{4\pi} = r^3$

Take cube root on both sides

$\sqrt[3]{\frac{3V}{4\pi}}= r$

5 0

3 years ago

A triangle has one leg measuring 10 inches and the hypotenuse measuring 20 inches. the other leg measures 10\sqrt[]{3} 10 3 inch

stiv31 [10]

From the description given for the triangle above, I think the type of triangle that is represented would be a right triangle. This type of triangle contains a right angle and two acute angles. In order to say or prove that it is a right triangle, it should be able to satisfy the Pythagorean Theorem which relates the sides of the triangle. It is expressed as follows:

c^2 = a^2 + b^2

where c is the hypotenuse or the longest side and a, b are the two shorter sides.

To prove that the triangle is indeed a right triangle, we use the equation above.

c^2 = a^2 + b^2
c^2 = 20^2 = 10^2 + (10sqrt(3))^2
400 = 100 + (100(3))
400 = 400

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3 years ago

6) −3 + 3k = −27<br> solve

erma4kov [3.2K]

Answer:

k = -8

Step-by-step explanation:

−3 + 3k = −27

⇔ -3 + 3k +3 = -27 +3

⇔ 3k = -24

⇔ k = -8

7 0

2 years ago

Read 2 more answers

Choose the number pair that has digits of 4 that differ in place by a factor of 1000. 4 A. 49,823 and 81,540 B. 83,419 and 46,85

Ne4ueva [31]

Answer:

The correct option is D) 47,063 and 54,722.

Step-by-step explanation:

Consider the provided information.

Here we need to find the number pair that has digits of 4 that differ in place by a factor of 1000.

Now consider the option A) 49,823 and 81,540

The place value of 4 in 49,823 and 81,540 is 40,000 and 40 respectively.

So the difference=40,000-40=39960 which is not a multiple of 1000.

Consider the option B) 83,419 and 46,859

The place value of 4 in 83,419 and 46,859 is 400 and 40,000 respectively.

So the difference=40,000-400=39600 which is not a multiple of 1000.

Consider the option C) 54,890 and 81,745

The place value of 4 in 54,890 and 81,745 is 4000 and 40 respectively.

So the difference=4000-40=3960 which is not a multiple of 1000.

Consider the option D) 47,063 and 54,722

The place value of 4 in 47,063 and 54,722 is 40,000 and 4000 respectively.

So the difference=40000-4000=36000 which is a multiple of 1000.

Hence, the correct option is D) 47,063 and 54,722.

3 0

3 years ago