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Lubov Fominskaja [6]
3 years ago
15

Davette wants to buy flannel sheets. She reads that a weight of 190 grams per square meter is considered high quality. Davette f

inds 3 options, option 1 is 1100 g of flannel in 6 square meters $45, option 2 is 1260 g of flannel in 6.6 sq meters $42, option 3 is 1300 of flannel in 6.5 square meters $52. she would like to buy the sheet that meets her requirement for high qualityand has the lowest price per square meter. which option should she buy?
Mathematics
1 answer:
klemol [59]3 years ago
8 0
The answer is the one that is $42.  It is the lowest cost for the amount of flannel you get and the quality.  
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A prop for the theater club’s play is constructed as a cone topped with a half- sphere. What is the volume of the prop? Round yo
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The volume of the prop is calculated to be 1,875.6 cubic cm.

Step-by-step explanation:

Step 1; The prop consists of a cone and a half-sphere on top. We will have to calculate the volumes of the cone and the half-sphere separately and then add them to obtain the total volume.

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The volume of the cone = \frac{1}{3} × 3.14 × 8 × 8 × 12 = 803.84 cubic cm.

Step 3; The area of a half-sphere is half of a full sphere. The volume of a sphere is given by multiplying \frac{4}{3} with π and the cube of the radius (r³). Here the radius is 8cm. We take π as 3.14.

The volume of a full sphere = \frac{4}{3} × 3.14 × r³ = \frac{4}{3} × π × 8³ = 2,143.5733 cubic cm.

The volume of a half-sphere = \frac{ 2,143.5733}{2} = 1,071.7866 cubic cm.

Step 4; The total volume = The volume of the cone + The volume of the half sphere,

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