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olga_2 [115]
3 years ago
6

Determine the radius of the cone, if the volume of the cone is 125cm and the height of the cone is 12cm. Round your answer to th

e nearest hundedth.

Mathematics
1 answer:
Ray Of Light [21]3 years ago
4 0

Answer:

3.15cm

Step-by-step explanation:

1. Determine where the given numbers go in formula for the volume of the cone.

2. Multiply ⅓ and 12cm to get 4

3. Isolate the section with unknown variables by dividing 125 and 4 to get 31.25 (rounded)

4. Now isolate the r² by dividing π by 31.25 to get 9.95

5. Take the square root of r and 9.95 to get rid of the exponent.

6. The radius is the answer of square rooting 9.95

7. If asked to check your answer, fill in the formula for the volume of the cone with the radius and round the answer to see if you get the volume you were originally given.

Hope this helps! :)

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Fourteen less than the product of ten and a number is the sum of twice a number and ten.
iren2701 [21]

Answer:

in what time will 24000 amount to rs.30000 at 10% p.a?

4 0
2 years ago
what was the original principal for an 8% simple interest bank account that holds $4340 after 3 years?
strojnjashka [21]

The principal amount is \$3500

<u>SOLUTION: </u>

Given that, simple interest 8\%; \$4340 after 3 years

We have to find the principal.

Now, let the principal amount be p.  

Then, \text { Simple Interest }=\frac{p \times 8 \times 3}{100}=\frac{p \times 24}{100}

Now, we know that, Balance = Principal amount + Simple Interest  

\begin{array}{l}{\rightarrow \$ 4340=p+\frac{24 p}{100}} \\\\ {\rightarrow 4340=p\left(1+\frac{24}{100}\right)} \\\\ {\rightarrow 4340=p \times \frac{100+124}{100}} \\\\ {\rightarrow p=4340 \times \frac{100}{124}} \\\\ {\rightarrow p=35 \times 100} \\\\ {\rightarrow p=3500}\end{array}

5 0
3 years ago
What is the slope of the line that contains the points (-3,5)and (-5,6)
tigry1 [53]
<span>(-3,5) (-5,6)
slope = 5-6 / -3 --5
</span><span>slope = -1 / 2

</span>
6 0
3 years ago
Johnny rode his bike to a friends house 4 blocks down the street in his neighborhood. He Immediately rode back home once he real
Aneli [31]

Answer:

Total displacement = 0 blocks

Step-by-step explanation:

Displacement : It is defined as the total distance between the initial and the final positions of the moving object or a body. The total displacement can be 0 in case the initial and the final positions of the body are same.

The distance traveled by Johnny from his house to his friends house = 4 blocks

Then he immediately returns to his house, so the total distance then covered = 4 blocks

Total distance traveled = 4 + 4

                                        = 8 blocks

But the initial position of Johnny is his house and the final position of Johnny is also his house

Therefore, the initial and the final position of Johnny is same and this can be used as a reference point for the given problem.

⇒ Total displacement = 0 blocks

7 0
3 years ago
7. In each case, write an equation that models the situation described. a) An antique is purchased for $5000 in 1990. It appreci
balandron [24]
A) A= 5000 x .0325 ( 31)
A= 5,037.50

.0325 = 3.25%
31 years 2021-1990 = 31


3 0
3 years ago
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