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Tom [10]
4 years ago
13

Please help

Mathematics
2 answers:
liraira [26]4 years ago
7 0

Answer:took the test it's both answers 283 and the 90 got it wrong for only selected that 283 and the answers was both needed.

Step-by-step explanation:

Anika [276]4 years ago
4 0

The capsule describe consists of 2 hemispheres (same) and 1 cylinder. We need to sum up the volume of the cylinder and the 2 same hemispheres.

  • <u>Volume of Cylinder:</u>

We are given the radius of the cylinder as 3 and the height as 6. The formula for volume of cylinder is V=\pi r^{2} h. Plugging in 3 for r and 6 for h gives us,

V=\pi (3)^{2} (6)=54\pi.


  • <u>Volume of Hemisphere(s):</u>

We are given the radius is 3 for the hemisphere. The formula for volume of a hemisphere is half of the volume of a sphere. The formula for hemisphere is shown below.

V=\frac{\frac{4}{3}\pi r^{3}} {2}. Plugging in 3 for r gives us,

V=\frac{\frac{4}{3}\pi (3)^{3}} {2}

V=\frac{\frac{4}{3}\pi*27}{2} \\=\frac{36\pi}{2}\\=18\pi

<em>Now, since we have 2 same hemispheres, we multiply this answer by 2 to get total volume of the 2 hemispheres.</em>

18\pi * 2= 36\pi.


  • <u>Total volume of the capsule:</u>

54\pi + 36\pi  = 90\pi


In decimal, taking 3.14 as \pi, it is 90*3.14=282.6

Rounding to the nearest whole number gives us 283 millimeters squared.


ANSWER: Volume = 90\pi mm^{3} and 283  mm^{3}

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Step-by-step explanation:

<u><em>The complete question is</em></u>

A spice store charged 2.75 for 25 grams of paprika. It also charges 5% of the purchase price for shipping any order.

Part a)  Write and simplify an expression to determine the cost of buying and shipping x ounces of paprika. Use 1 ounce = 28 grams

Part b) Can a customer buy 2.5 ounces of paprika and have it shipped for less than 8.00? Explain

step 1

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x ----> the number of ounces of paprika

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