Answer:
height is = 3/2 ft
Step-by-step explanation:
a cones volume can be represented by 1/3(h)(pi)(r^2)
we must go backwards to find this question out
if the diameter is 2/3 then the radius is 1/3
then you must square that
that is 1/3 * 1/3 which is 1/9
1/9(1/3)(pi)(h) is 1/18(pi)
we can remove pi from both sides and multiply the 1/9 and the 1/3
1/27(h) = 1/18
we must find the lcm or least common multiple to figure this out
the lcm is 54
1/27 is essentially 2/54 and 1/18 is 3/54
2/54(h) = 3/54
we can multiply each side by 54
2h = 3
divide 2 on both sides
h is 3/2
To find the number of strings of lights needed for the square patio, divide the perimeter of the square by the length of each string of lights. Round up to the nearest whole number.
To find the number of strings of lights needed, we need to divide the perimeter of the square patio by the length of each string of lights. Since the patio is a square, all sides are equal in length. To find the side length, we can take the square root of the area.
In this case, the area is 225m², so the side length of the square patio is √225m = 15m. The perimeter of the square is 4 times the side length, which is 4 × 15m = 60m. Dividing the perimeter by the length of each string of lights, we get 60m ÷ 25m = 2.4. Since we can't have a fraction of a string of lights, we round up to the nearest whole number. Therefore, 3 strings of lights are needed.
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