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dusya [7]
2 years ago
11

A cylindrical water tank's height is 48 feet and the diameter is 30 feet. Considering that 1 cubic yard = 202 gallons, how many

gallons are in the tank when filled to capacity? (π = 3.14)
Mathematics
2 answers:
sleet_krkn [62]2 years ago
8 0

Answer:

253,712 gallons

V = Bh; the base of a cylinder is a circle.

V = πr2 h; r = 0.5(30) = 15 feet

V = 3.14(15)2(48)

V = 3.14(225)(48) = 33,912 cubic feet

33,912 cubic feet

27 cubic feet in a cubic yard

= 1256 cubic yards

1256 x 202 = 253,712 gallons

azamat2 years ago
3 0

Answer:

Step-by-step explanation:

r=d/2 r=30/2=15ft

h=48ft

v=πr²h

v=3.14*15²*48

v=33912ft³

cubic foot=0.037*33912

cubic foot=1254.74cubic foot

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B is the midpoint of AC, E is the midpoint of BD. If A(-9,-4), C(-1,6), and E(-4,-3), find the coordinates of D
Vadim26 [7]

Answer:

(-3, -7)

Step-by-step explanation:

Let (x_{A,}y_{A}),(x_{B},y_{B}),(x_{C,}y_{C}),(x_{D,}y_{D})(x_{E,}y_{E)} \text{be the coordinates of points A, B, C respectively}\\\\

The midpoint coordinates (x_{M},y_{M}) of any two points (x_{1},y_{1}) and (x_{2},y_{2}) are given by x_{M}=\frac{(x_{1}+x_{2)}}{2} and y_{M}=\frac{y_{1}+y_{2}}{2}

Since B is the midpoint of AC

x_{B}=\frac{(x_{A}+x_{C})}{2}=\frac{(-9+(-1)}{2}=\frac{-9-1}{2}=\frac{-10}{2}=-5

y_{B}=\frac{(y_{A}+y_{C})}{2}=\frac{(-4+6)}{2}=\frac{2}{2}=1

Since E is the midpoint of B and D and we are given the coordinates of E as (-4,-3). it follows that

x_{E}=\frac{x_{B}+x_{D}}{2} = \frac{-4+x_{D}}{2}

Therefore

x_{D}=2x_{E}+4=2(-5)+4=-3

Similarly

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