How do you find the volume of a cone step by step awser

Mathematics

2 answers:

lubasha [3.4K]3 years ago

3 0

Answer:

$V=\frac{1}{3} \pi r^{2} h$

Step-by-step explanation:

Your r^2 times pi is the area of the base, h is the height, and 1/3 is 1/3 of a cylinder.

olasank [31]3 years ago

3 0

Answer:

Step-by-step explanation:

V=πr2h

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At a pizza place, there are 13 pepperoni pizzas sold for every 7 cheese pizzas. What is the ratio of cheese pizzas to pepperoni

Klio2033 [76]

Answer: 7:13

Step-by-step explanation:

There are 7 cheese pizzas sold for every 13 pepperoni pizzas sold

3 0

3 years ago

1. There were 36,000 people at a horse race in Lexington, Kentucky. The day's

Step2247 [10]

Answer:

10000 people paid $12.00 each for clubhouse seats and
26000 people paid $5.00 each for grandstand seats.

Step-by-step explanation:

The question is asking for a system of equations, which make explanations easy. :)

Define the variables. Setting $x$ to the number of clubhouse seats sold and $y$ to the number of grandstand seats sold will be sufficient. The "let statement[s]" will be:

Let $x$ be the number of clubhouse seats sold.
Let $y$ be the number of grandstand seats sold.

The number of equations shall be no less than the number of variables for the solution to be unique. There are two variables. It will take at least two equations to find a unique solution.

Everyone at the race need a seat. The number clubhouse seats plus the number of grandstand seats shall be the same as the number people at the race. There were 36,000 people. Therefore the first equation shall be:

$x + y = 36000$ .

Every clubhouse seat will add $12.00 to the receipt. $x$ clubhouse seats will add $ $12\;x$ to the receipt. Similarly, $y$ grandstand seats will add $ $5\;y$ to the receipt. The two values shall add up to $250,000.

Drop the dollar sign to get the second equation:

$12\;x +5\;y =250000$ .

Hence the system:

$\displaystyle \left\{\begin{aligned}& x + y = 36000 && \textcircled{\raisebox{-0.9pt}1}\\ & 12\;x + 5\;y = 250000 && \textcircled{\raisebox{-0.9pt}2}\end{aligned} \phantom{\small credit for the raisebox hack: tex[dot]stackexchange[dot]com/questions/7032/good-way-to-make-textcircled-numbers}$ .

Solve this system.

The first non-zero coefficient in equation $\textcircled{\raisebox{-0.9pt}1}$ is already one. That's the coefficient for $x$ . Use multiples of equation $\textcircled{\raisebox{-0.9pt}1}$ to get rid of $x$ in other equations (equation $\textcircled{\raisebox{-0.9pt}2}$ in this case.)