A man sold two computers for Rs 24000 each on one ne
1 answer:
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Answer:
296 cubic feet
Step-by-step explanation:
First and foremost, you have to have everything in either feet or inches. Right now they are in both. Since the answer is asked for in feet, let's convert everything to feet. The width is already in feet, so that's good.
However, even though the length is 49 feet, we still have to convert the 4 inches part of that to feet. Using the fact that there are 12 inches in a foot:
so we have
Convert that to improper to make the multiplication easier in the end:
Now we have to convert the 8 inches to feet using the same reasoning:
Now everything is in terms of feet. The volume is found by multiplying length times width times height:
Divide that and it comes out to an even 296 cubic feet
Answer:
a) The volume of the sphere is approximately 14,137.16694 which is 14,140 cm³ correct to 4 significant figures
b) The volume of water required to fill the tank is approximately 103,670 cm³
Step-by-step explanation:
a) In the question, the radius of the sphere, r = 15 cm
The formula for the volume, 'V', of a sphere is given as follows;
Where;
r = The radius of the the sphere
V = The volume of the sphere
Plugging in the value for the radius, 'r', of the sphere, in the equation for, 'V', we get;
Therefore;
The volume of the sphere to 4 significant figures is V ≈ 14,140 cm³
b) The parameters of the cylindrical tank are;
The height of the cylindrical tank, h = 60 cm
The radius of the cylindrical tank, r = 25 cm
The volume of a cylinder, V = π·r²·h
∴ The volume of the cylindrical tank without water, '', is given as follows;
= π × (25 cm)² × 60 cm ≈ 117809.72451 cm³
The volume of water, , required to fill the tank with the sphere of volume 'V' placed inside is given as follows
= V +
∴ =
- V
From which we get;
≈ 117809.72451 cm³ - 14,140 cm³ = 103,669.72451 cm³ ≈ 103,670 cm³
The volume of water required to fill the tank, ≈ 103,670 cm³.