Georgia ran a 5-kilometer race. How many meters did she run?
2 answers:
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The volume of the composite figure is 263.76 inches³
Step-by-step explanation:
The volume of a cylinder of radius r and height h is
- V = πr²h ⇒ Bh
The volume of a cone of radius r and height h is
- V =
πr²h ⇒
The volume of a sphere with radius r is
- V =
πr³
∵ The figure is made up of a cylinder, a cone, and a half sphere
∵ The radius of the cylinder = 3 inches
∵ The height of the cylinder = 6 inches
∵ π = 3.14
- Use the rule of the volume of the cylinder above
∴ The volume of the cylinder = (3.14)(3)²(6)
∴ The volume of the cylinder = 169.56 inches³
∵ The radius of the cone = 3 inches
∵ The height of the cone = 4 inches
∵ π = 3.14
- Use the rule of the volume of the cone above
∴ The volume of the cone =
∴ The volume of the cone = 37.68 inches³
∵ The radius of the half sphere = 3 inches
∵ π = 3.14
- Use the rule of the volume of the sphere above to find the
volume of the half sphere
∴ The volume of half sphere =
∴ The volume of half sphere = 56.52 inches³
To find the volume of the composite figure add the volumes of the three shapes above
∵ The volume of the composite figure = 169.56 + 37.68 + 56.52
∴ The volume of the composite figure = 263.76 inches³
The volume of the composite figure is 263.76 inches³
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Answer:
Mona will save a total of $7 by going to Carpet World.
Step-by-step explanation:
First, we need to calculate the total area of the floor by multiplying the width by the length...
5m * 8m = 40m
Now we calculate the amount that it would cost to buy the carpet from each of the establishments. For the first establishment, we can buy 16 and get the next 8
half off and that would leave another 16
at full price. The second establishment we have a 5% off (0.95 of official price) for every 8
, since out total area is 5 times this amount then our total will have a 5% off.
Establishment 1: (16 * 2.20) + (8
* 1.10) + (16
* 2.20) = $79.20
Establishment 2: (40 * 1.90) * 0.95 = $72.20
Difference: 79.20 - 72.20 = $7
Mona will save a total of $7 by going to Carpet World.
