Mathematics, 26.06.2019 20:00 ashlynchristianson

Acone and 2 cylinders are shown below. the volume of the cone is 15 cubic centimeters. each of the 2 cylinder has the same height and the same radius as the cone. what is the combined volume. in cubic centimeters, of the 2 cylinders? 5 10 45 90

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Answer from: Jenifermorales101

90 $cm^{3}$

Step-by-step explanation:

Given:

The volume of a cylinder =15 $cm^{3}$

Height of cone = Height of either cylinder

Radius of cone=Radius of either cylinder

Formula:

Volume of a cone = $\pi r^{2}h/3$

Volume of a cylinder = $\pi r^{2}h$

To find: Combined volume of both cylinders.

The volume of a cylinder =15 $cm^{3}$

$\pi r^{2}h/3$ =15 $cm^{3}$

$\pi r^{2}h$ =15 * 3 $cm^{3}$

$\pi r^{2}h$ =45 $cm^{3}$

[As

Height of cone = Height of either cylinder

Radius of cone=Radius of either cylinder]

$\pi r^{2}h$ =45 $cm^{3}$ is the volume of one cylinder.

Combined volume of cylinder = 2* Volume of cylinder = 2*45 =90 $cm^{3}$

Answer from: Quest

option a is correct.

$\frac{\text{original height}}{\text{original base}}=\frac{\text{reduction height}}{\text{reduction base}}$

step-by-step explanation:

scale factor: it is used to find proportional measurements.

proportions means having the same ratio.

scale factor is the ratio of the model measurement to the actual measurement in a simplest form.

or we can say that the ratio of any two corresponding lengths in two similar geometric figures

if the scale factor is more than 1, then it is an enlargement,

if the scale factor less than 1, then it is a reduction.

given the two geometric figure:

by definition of proportions, we have

$\frac{\text{original height}}{\text{original base}}=\frac{\text{reduction height}}{\text{reduction base}}$

Which is the scale factor proportion for the reduction shown? answers are on picture.

Answer from: Quest

2 & 7

step-by-step explanation:

he climbs 300 ft/hr at a constant rate. the peak is at 1,500 ft.

when going up, he reaches 600 ft in 2 hours. remember, that he is going in a constant rate. divide 600 with 300:

600/300 = 2

assuming that he takes the same route back (meaning that it's a 1500 ft route back, you can solve.

note also that you are solving when he gets back to 600 ft after he reaches the peak.

first, find the amount of hours it takes to get up the peak. divide the total amount (1500), with the ft/her (300) to get the amount of hours (x):

1500/300 = x

x = 5

it takes jamie 5 hours to get up. now, he is returning down, and reaches 600 (his current destination). remember that he climbs at a constant 300 ft/hr. divide 600 with 300:

600/300 = x

x = 2

now add the two numbers together.

x = 5 + 2 = 7

jamie takes 7 hours to go up the mountain and reach his current position when descending.

(total amount/constant rate) = (time).

remember that it is a constant rate, so in total, when he gets back down the mountain, it will take the same amount of time as when he goes up. the total amount for the round trip is: 5 + 5 = 10.

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