Answer:
Surface area = 80.4 cm²
Step-by-step explanation:
The diagram of both cylinders is attached below for a better understanding.
<h3>First find the radius of larger cylinder:</h3>
Surface area = 2πrh + 2πr²
236 = 2(3.14)(5)r + 2(3.14)r²
236 = 31.4r + 6.28r²
236 = 6.28(r² + 5r)
35.58 = r² + 5r
r = 3.97 cm
<h3>
Find the radius of Smaller cylinder:</h3>
Two cylinders are in proportion if their heights and radius are in proportion:
Ratio of height of small cylinder to big cylinder = 3/5 = 0.6
So ratio of radius of both is also 0.6
Let R be the radius of small cylinder
ratio of radius of small cylinder to big cylinder = R / 3.97
R = (0.6)(3.97)
R = 2.38
<h3 /><h3>Surface Area for small cylinder:</h3>
R = 2.38cm and h = 3 cm
Surface area = 2πrh + 2πr²
Surface area = 2(3.14)(2.38)(3) + 2(3.14)(2.38)²
Surface area = 80.4115cm²
Round of to nearest tenth
Surface area = 80.4 cm²
Answer:
58
Step-by-step explanation:
Let t and m represent the numbers of cards had by Tom and Max, respectively. Then the problem statement tells us ...
We want to solve for t. If we multiply the first equation by 4 and subtract the second, we get ...
... 4(t +m) -(4m +2) = 4(72) -(t)
... 4t +4m -4m -2 = 288 -t . . . . . . . eliminate parentheses
... 5t = 290 . . . . . . . . . . . . . . . . . . . add t+2, collect terms
... t = 58 . . . . . . . . divide by the coefficient of t
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<em>Alternate Solution</em>
You can work this in your head if you realize that subtacting 2 from the total means that Max has 1/5 of the new amount. 1/5 of 70 is 14, so Tom has 72 - 14 = 58 cards.