Put decimals in order from smallest to largest and then find the median?

A cone and a cylinder have the same height and their bases are congruent circles

Anettt [7]

Answer:

$30cm^3$

Step-by-step explanation:

the volume of a cylinder is given by:

$v_{cylinder}=\pi r^2 h$

and the volume of a cone is given by:

$v_{cone}=\frac{\pi r^2 h}{3}$

since both have the same height and radius, we can solve each equation for $r^2h$ (because this quantity is the same in both figures) and then match the expressions we find:

from the cylinder's volume formula:

$r^2h=\frac{v_{cylinder}}{\pi}$

and from the cone's volume formula:

$r^2h=\frac{3 v_{cone}}{\pi}$

matching the two previous expressions:

$\frac{v_{cylinder}}{\pi} =\frac{3v_{cone}}{\pi}$

we solve for the volume of a cone $v_{cone}$ :

$v_{cone}=\frac{\pi v_{cylinder}}{3\pi} \\\\v_{cone}=\frac{v_{cylinder}}{3}$

substituting the value of the cylinder's volume $v_{cylinder}=90cm^3$

$v_{cone}=\frac{90cm^3}{3} \\\\v_{cone}=30cm^3$

5 0

3 years ago

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For the last three days, it has rained 0.13 inches, 0.08 inches, and 0.18 inches. What is the best estimate of the total rainfal

Natali [406]

Answer:

(D) . The best estimate of the total rainfall is 0.4 inches.

Step-by-step explanation:

Here, as given in the data:

The rainfall on the first day = 0.13 inches

Now, the 'nearest tenth' estimation of 0.13 = 0.10 as ( 3 < 5)

So, the estimated rainfall on first day = 0.10 inches

The rainfall on the second day = 0.08 inches

Now, the 'nearest tenth' estimation of 0.08 = 0.10 as ( 8 > 5)

So, the estimated rainfall on second day = 0.10 inches

The rainfall on the third day = 0.18 inches

Now, the 'nearest tenth' estimation of 0.18 = 0.20 as ( 8 > 5)

So, the estimated rainfall on third day =0.20 inches

So, total estimated rainfall = Estimated rainfall on ( first + second + third day)

= 0.10 inches + 0.10 inches + 0.20 inches

= 0.40 inches

Hence, the best estimate of the total rainfall is 0.4 inches.

6 0

3 years ago

I need help with 7th grade math please need help ASAP + brainleist

Kamila [148]

Answer:

Area = 6647.610055 cm^2

Circumference = 289.02652413 cm

Step-by-step explanation:

Area of Circle: Area = π*r^2

Circumference: C = 2*π*r or π*d

Area = π * 46^2 = 6647.610055

Circumference = 2*π*46 = 289.02652413

8 0

1 year ago

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Can somebody please help me with this & show work ?? :)

harkovskaia [24]

Answer:

s = 116°, q and t are 64°

Step-by-step explanation:

isoceles so r and s are the same and q and t are the same. therefore q and t are 180-116 = 64

5 0

3 years ago

In a group of 120 students,90 students study mathematics and 72 study science. if 10 of the student does not study any subject

barxatty [35]

Answer:

Step-by-step explanation:

Total students = 120

Number of students studying Mathematics P(A) = 90

Number of students studying Science P(B) = 72

Number of students who doesn't study both subjects P(AUB)'= 10

1) Number of students studying atleast on subject = 120 -10 = 110

2) Number of students studying both math and science = (90 +72) -110

= 162 -110 = 52

3) Number of students studying only mathematics = 90 -52 = 38

4) Number of students studying only science = 72 -52 = 20

4 0

3 years ago