Answer:
the radius of the base is equal to ![x=2\sqrt[3]{\frac{105}{\pi } }](https://tex.z-dn.net/?f=x%3D2%5Csqrt%5B3%5D%7B%5Cfrac%7B105%7D%7B%5Cpi%20%7D%20%7D)
And the height is equal to:
![y=\frac{840}{\pi(2\sqrt[3]{\frac{105}{\pi}})^{2} }](https://tex.z-dn.net/?f=y%3D%5Cfrac%7B840%7D%7B%5Cpi%282%5Csqrt%5B3%5D%7B%5Cfrac%7B105%7D%7B%5Cpi%7D%7D%29%5E%7B2%7D%20%7D)
Step-by-step explanation:
We write the volume function
where x is the radius of the base and y is the height of the cylinder

The surface of a cylinder is given by
on the interval from 0 to infinity
We now determine the critical values by differentiating and making the equation equal to 0

This equation have 2 complex solutions and one real solution
![x=2\sqrt[3]{\frac{105}{\pi } }](https://tex.z-dn.net/?f=x%3D2%5Csqrt%5B3%5D%7B%5Cfrac%7B105%7D%7B%5Cpi%20%7D%20%7D)
For x=0 and infinity the equation goes to infinity also so the radius of the base is equal to ![x=2\sqrt[3]{\frac{105}{\pi } }](https://tex.z-dn.net/?f=x%3D2%5Csqrt%5B3%5D%7B%5Cfrac%7B105%7D%7B%5Cpi%20%7D%20%7D)
And the height is equal to:
![y=\frac{840}{\pi (2\sqrt[3]{\frac{105}{\pi } })^{2} }](https://tex.z-dn.net/?f=y%3D%5Cfrac%7B840%7D%7B%5Cpi%20%282%5Csqrt%5B3%5D%7B%5Cfrac%7B105%7D%7B%5Cpi%20%7D%20%7D%29%5E%7B2%7D%20%7D)
![y=\frac{840}{\pi(2\sqrt[3]{\frac{105}{\pi}})^{2} }](https://tex.z-dn.net/?f=y%3D%5Cfrac%7B840%7D%7B%5Cpi%282%5Csqrt%5B3%5D%7B%5Cfrac%7B105%7D%7B%5Cpi%7D%7D%29%5E%7B2%7D%20%7D)
12 cards = $15.00
1 card = $15.00 ÷ 12 = $1.25
Answer: $1.25
Answer:
20 feet
Step-by-step explanation:
7/1.4=5
5*4=20
Answer:
<h2>
<em><u>$23.40 </u></em></h2>
Step-by-step explanation:
<em><u>Given,</u></em>
Cost price of 8 cakes = $62.40
<em><u>So,</u></em>
Cost price of 1 cake = $ 
<em><u>Therefore,</u></em>
Cost price of 3 cakes
= $(
× 3)
- <em>[On dividing 62.40 by 8]</em>
= $(7.80 × 3)
- <em>[On multiplying]</em>
= $23.40
<em><u>Hence,</u></em>
<em><u>The required cost of 3 cakes is $23.40 (Ans)</u></em>
Answer:
34.5?
Step-by-step explanation:
Grab 75 and subtract 6 from it. After that you divide 69 (the answer of 75-6) by 2. You then get 34.5