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nadya68 [22]
3 years ago
11

The radius of a 10 inch right circular cylinder is measured to be 4 inches, but with a possible error of ±0.1 inch. What is the

resulting possible error in the volume of the cylinder? Include units in your answer.
Mathematics
1 answer:
Stella [2.4K]3 years ago
8 0

Answer:


Step-by-step explanation:

Given that a cylinder has radius equal to 10 inches but measured to be 4 inches

The margin of error is +1 or -1 meaning that

the radius can take values between 3.9 and 4.1 inches

Volume of cylinder =\pir^{2} h\\=100\pih

where h is height

The above is the actual volume.

Measured volume would be between radius 3.9 and 4.1 inches

i.e. Measured volume =\pi(3.9)^2 h

Volume would be between these two values

Possible error =100-15.21 = 84.79 pi h

OR = 84.19 pi h cubic inches

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The amount that Susan will have to pay in interest is given by: Option A: $5.33 approx.

<h3>How to find the percentage from the total value?</h3>

Suppose the value of which a thing is expressed in percentage is "a'

Suppose the percent that considered thing is of "a" is b%

Then since percent shows per 100 (since cent means 100), thus we will first divide the whole part in 100 parts and then we multiply it with b so that we collect b items per 100 items(that is exactly what b per cent means).

Thus, that thing in number is

\dfrac{a}{100} \times b

For this case, we're given that:

  • Amonut Susan took out = $200
  • Interest rate = 32% annually (interest rates are usually expressed in annual (yearly) terms).
  • Amount paid off within 1 month

The interest was 32% annually, so in monthly terms, it would be 32/12 = 2.667% approx. (as there are 12 months in each year)

Since the balance was paid within one month, the interest would be simply 1 time calculated on the main balance.

Thus, we get:
Interest amount ≈ 2.667% of $200 = \dfrac{200}{100} \times 2.667 = 5.334 \approx 5.33 \: \rm (in \: dollars)

Thus, the amount that Susan will have to pay in interest is given by: Option A: $5.33 approx.

Learn more about percent here:

brainly.com/question/11549320

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