Mathematics, 08.03.2021 06:30 adrianawalker16

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Answer from: LatishaSW2795

$\boxed {\boxed {\sf 60 \pi , 188.4, \ or \ 188.495559 \ m^3}}$

Step-by-step explanation:

The formula for the volume of a cone is:

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

First, we must find the radius. The diameter is 12 meters and the radius is half of the diameter.

r= d/2 r= 12 m /2 r= 6 m

The radius is 6 meters and the height is 5 meters.

$v=\frac{1}{3} \pi (6 \ m)^2 (5 \ m )$

Solve the exponent.

(6 m)²= 6 m * 6 m = 36 m²

$v=\frac{1}{3} \pi (36 \ m^2) (5 \ m )$

Multiply the numbers in parentheses.

$v=\frac{1}{3} \pi (180 \ m^2)$

Multiply by 1/3 or divide by 3.

$v= 60 \pi \ m^3$

There are 3 ways to finish solving this.

1. In Terms of Pi

Leave the answer as it is, with pi included: $v= 60 \pi \ m^3$

2. Using 3.14 as Pi

$v= 60 (3.14) \ m^3 =188.4 \ m^3$

3. Using the Pi Button on a calculator

$v=60 (3.14159265) \ m^3=188.495559 \ m^3$

The volume of the cone is 60π, 188.4, or 188.495559 cubic meters.

Answer from: Quest

step-by-step explanation:

hello and welcome!

so, when we see the words "proportional" along with a table, we need to know that we're looking numbers that divide by the same thing.

looking at this table, we simply have to do a trial and error, and divide to see which numbers have the same quotient. if you look at choice a & c, they both have equal quotients for three of the numbers, with one exception, so those can't be the answer. looking at b, there is no similarity, so that can't be it. then, we see d; if you divide all the numbers in the table, you'll see that they all divide by two, which is a proportional relationship, and our answer!

$4/2 = 2\\7/3.5=2\\8/4=2\\10/5=2$

also, always remember that the x will always be the number that goes into y, and somewhere behind this table, is a formula. for this specific table, the formula would be:

$y=\frac{x}{2}$

since our x-value is being divided by two to get the y-value. and if they were to ask for more numbers in the series, this is the formula you would use to find them.

Answer from: Quest

answer: yard ramps with a level off platform are typically 36 feet long. truck, rather than at an angle, enabling access to those pallets at the very back of the truck. if you are using your yard ramp to convert a loading dock into a drive-in door, we even at 60 inches (5 feet) high and a 30 foot ramp, the slope of the ramp will be less

step-by-step explanation:

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