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podryga [215]
3 years ago
13

PLEASE HELP!!! When baking a cake you can choose between a round pan with a 12 in. diameter and a 8 in.×11 in. rectangular pan.

​ a) Determine the area of the base of each pan. ​b) If both pans are 2 in.​ deep, determine the volume of each pan. ​c) Which pan has the larger​ volume?
Mathematics
1 answer:
Burka [1]3 years ago
5 0
A) to work out area of a circular pan you use 3.14 x R^2 so the area would be 3.14x(6)^2, which gives us 113.04in^2. The rectangular pan has area 8x11 which is 88in^2.
B) to work out volume you multiple the areas by the depth. So the circular one is 226.09in^3 and the rectangular one is 176in^3.
C) this means that the circular pan has a larger volume
Hope this helped and sorry if anything is wrong :)
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3 0
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Lily bought 20.24 pounds of grapefruit. The lightest grapefruit weighed 1.2 pounds. The heaviest grapefruit weighed 1.8 pounds.
dexar [7]

Given:

  • Lily bought 20.24 pounds of grapefruit.
  • The lightest grapefruit weighed 1.2 pounds.
  • The heaviest grapefruit weighed 1.8 pounds.

To Find:

An estimate of the number of grapefruits she bought.

Answer:

The best estimate is that Lily bought 13 grapefruits.

Step-by-step explanation:

Given that the lightest grapefruit weighed 1.2 pounds and the heaviest one weighed 1.8 pounds, we can take the mean or average of these two weights to estimate the weight of any of the grapefruits that she bought.

That is, we can say that each grapefruit must weigh something close to the average value.

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Thus, the average grapefruit from the bundle she bought must weigh around 1.5 pounds.

Now, given that the total weight of the grapefruit she bought is 20.24 pounds.

By the Unitary Method,

Weight of One Grapefruit = Total Weight of All Grapefruits ÷ Number of Grapefruits

So, number of grapefruits she bought = Total weight ÷ weight of one grapefruit

In other words,

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Rounding off, we may say that Lily bought 13 grapefruits.

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