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Lorico [155]
2 years ago
14

When baking a cake you have a choice of the following pans: a round cake that is 2 inches deep and has a 7-inch diameter, a 6 in

ches times 9-inch rectangular cake pan that is 2 inches deep.
Question: Excluding the bottom of the cake what is the surface area of each cake that will be covered by frosting?
I do not need an answer I just need help on this question. Thank you.
Mathematics
1 answer:
irga5000 [103]2 years ago
5 0
The answer is
round cake - 82.42 in²
rectangular cake - 114 in²

Round cake:
d = 7 in
r = d/2 = 7 in / 2 = 3.5 in
h = 2 in

The surface are of a cylinder is:
A = 2πr² + 2πrh

The surface are of the round cake (which is actually a cylindrical cake) excluding the bottom is:
A = 2πr² + 2πrh - πr²
A = πr² + 2πrh
A = 3.14 * 3.5² + 2 * 3.14 * 3.5 * 2
    = 38.46 + 43.96
    = 82.42 in²

Rectangular cake:
w = 6 in
l = 9 in
h = 2 in

The surface are of a rectangle is:
A = 2wl + 2wh + 2lh

The surface are of the rectangular cake excluding the bottom is:
A = 2wl + 2wh + 2lh - wl
A = wl + 2wh + 2lh
A = 6 * 9 + 2 * 6 * 2 + 2 * 9 * 2
    = 54 + 24 + 36
    = 114 in²

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Answer:

(7,4)

Step-by-step explanation:

The midpoint formula is expressed as:

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Endpoint A(-2, -7)

Required

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From the formula;

X = x2+x1/2

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2.5 = -2+x2/2

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x2 = 7

Also

Y = y2+y1/2

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-3 =-7+y2

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Hence the coordinate of the endpoint B (x2,y2) is (7,4)

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(a+b)(a²-ab+b²)
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Let averages enzyme level of treatment & control be Xt & Xc

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