The diameter of a cylindrical water tank is 12ft , and its height is 14ft . What is the volume of the tank?

1 answer:

7 0

So the formula for finding the area of a cylinder is $2 \pi r^{2}+2 \pi rh$ . r=radius. If we put the numbers into the equation it is $2 \pi 6^{2}+2 \pi 6(14)$ We get 6 as the radius because half of 12 is 6. 6 squared is 36 and 6*14= 84. So our equation is now $2 \pi36+2 \pi84$ . 2*pi=6.28318530718 but let's round that to 6.283. So now our equation is much simpler 6.283(36)+6.283(84). Just multiply them. 226.188+527.772= 753.96 is your final answer.

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There are 450 people at a play, the total receipt for $600 and the admission was $2 for adults and $0.75 for children, how many

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Answer:

340 children, 210 adults.

Step-by-step explanation:

$Let \ a \ - adults, \ c - children;\\c + a = 450\\0.75c + 2a = 600|\cdot 4\\3c + 8a = 2400;\\\\c + a = 450|\cdot(-3)\\3c + 8a = 2400\\-3c -3a = -1350\\5a = 1050 => a = 210, c = 450 -210 = 340.$

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NNADVOKAT [17]

You can solve this by using "similar triangles".

In triangle ABC, we are looking for side AC which is x. Side AC is similar to side DF in triangle EDF.

You can solve for side x by picking two sides in triangle ABC and their corresponding sides in triangle EDF. This is what I mean:
$\frac{AC}{BC} = \frac{DF}{EF}$
Substitute for the values of AC, BC, DF and EF:
$\frac{x}{4} = \frac{11}{8} \\ \\ 8x = 4 \times 11 \\ \\ x = \frac{44}{8}$
$x = 5.5 \: units$
To solve for y, do the same thing. Pick two sides on triangle ABC and their corresponding sides in triangle DEF.
$\frac{AB}{BC} = \frac{DE}{EF}$
Substitute for the values and solve:
$\frac{3}{4} = \frac{y}{8}$
$4y = 24 \\ \\ y = 6 \: units$

We have the value x to be 5.5 units and y to be 6 units.