The volume of a cone is 1/3 times the area of the base times the height.
So the area of the base would be pi times the radius squared, or 3.14 * 3.2^2, which is 32.1536.
Next you multiply 32.1536 by the height(5.8) to get 186.49088.
Then you divide that by 3 to get 62.1636267, rounded to the nearest tenth of an inch is 62.2 inches cubed.
<u>Answer:</u>
The amount of fabric needed to cover the pyramid is .
<u>Step-by-step explanation:</u>
Given, the lantern is in the shape of a square pyramid. And the lantern has to be covered by a fabric. So, the amount of fabric needed to cover the lantern can be calculated by the following formula,
where p is the perimeter of the base of the pyramid and l is the slant height.
Since, it is given that it is a lantern, the area to be covered with the fabric is its L.S.A (Lateral Surface Area) leaving the base where the lamp is lit. So, the L.S.A of the pyramid is equal to the amount of fabric required to cover the lantern.
The first thing we must do for this case is find the area.
"room with walls 14 feet long"
Therefore, the area is given by:
A = (14) * (14)
A = 196 feet ^ 2
Then, the number of pails of plaster are given by:
n = 196/97
n = 2.02
Rounding off we have:
n = 2
Answer:
you would need to buy 2 pails of plaster to cover the ceiling of a room with walls 14 feet long
Subtract the two numbers and you will get the answer