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kupik [55]
2 years ago
15

The mold for a cone has a diameter of 4 inches in 6 inches tall what is the volume of the cone mold to the nearest 10th

Mathematics
1 answer:
anygoal [31]2 years ago
8 0

Hey there!

The formula for the volume of a cone is V=\pi r^{2} \frac{h}{3}.

In this cone, we have the given information:

  • Its diameter is 4 inches
  • Its height is 6 inches

The information we need for this formula is the radius and height.

We already have the height, but not the radius.

Fortunately, we can easily get it by dividing the diameter by 2.

4 \div 2 = 2

So, the radius is 2.

Let 3.14 be \pi.

Plug in each value into the equation. V = 3.14 \times 2^{2} \times \frac{6}{3}

Simplify the exponent and fraction.

V = 3.14 \times 4 \times 2

Multiply the three numbers together.

V = 25.12

But wait! We have to round this to the nearest tenth.

When rounding, we look at the place value one less than the one we are rounding to. Since we are rounding to the nearest tenth, we look at the hundredths place, which is the digit 2.

Since 2 is less than 5, we round down to 25.1.

This is the volume of a cube, and it is measured in inches, so the unit we will use is in^{3}.

So, your <u>final answer</u> is 25.1 in^{3}!

Hope this helps!

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Need help presenting this solution on and number line and in interval notation. (I’m absolutely clueless haha)
beks73 [17]

Since the number is a fraction make a number line using fractions. The inequality sign includes being equal to, so add a solid dot on -5/2 and since x is less than that, draw an arrow pointing to the left.

See attached drawing.

For interval notation since x can be any number less than or equal to -5/2 it would be written as (-∞, -5/2]

8 0
3 years ago
I need help with math
Bogdan [553]

A. ∠4 is congruent to ∠5; True.

B. Two lines are parallel; True.

C. The measure of ∠6 = 90.5°; False.

D. ∠2 and ∠3; True.

<h3>What are the properties of angles of parallel lines?</h3>
  • On a common plane, two parallel lines do not intersect.
  • As a result, the characteristics of parallel lines with respect to transversals are given below.
  1. Angles that correspond are equal.
  2. Vertical angles are equal to vertically opposite angles.
  3. Interior angles that alternate are equal.
  4. The exterior angles that alternate are equal.

For the give question;

Two line are cut by the transversal.

∠1 =  90.5° and ∠7  =  89.5°

Thus the result for the given statement are-

A. ∠4 is congruent to ∠5 because they are alternate interior angles; True.

B. Two lines are parallel; True.

C. The measure of ∠6 = 90.5°; False.

∠6 = ∠7 =  89.5°.(correct)

D. ∠2 and ∠3 are supplementary because they are same-side exterior Angeles; True.

Thus, the result for the given statement are found.

To know more about the parallel lines, here

brainly.com/question/4954460

#SPJ1

3 0
1 year ago
When 23 is subtracted from 5 times a certain number the result is 87
allsm [11]
5x-23=87
add 23 to both sides
5x=110
divide both sides by 5
x=22

To check your answer...
5(22)-23=87
110-23=87
87=87
8 0
3 years ago
If comparing x^2 to x^3, which value of x gives the greatest difference:x=6,x=8,x=10?
VMariaS [17]

Answer:

the value of x that gives the greatest difference is 10.

Step-by-step explanation:

Given;

x² and x³

values of x = 6, 8 and 10

When x = 6

6³ - 6² = 216 - 36 = 180

When x = 8

8³ - 8² = 512 - 64 = 448

When x = 10

10³ - 10² = 1000 - 100 = 900

Therefore, the value of x that gives the greatest difference is 10.

5 0
3 years ago
How long will it take $3000 to earn $900 interest at 6% simple interest?
a_sh-v [17]

Answer:

5 years

Step-by-step explanation:

3000x.06=180 interest per year.

900/180 =5 years to earn 900 interest.

4 0
3 years ago
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