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Olin [163]
3 years ago
10

The ratio of volume of a cone and a hemisphere of same base radius and height is?

Mathematics
1 answer:
aliya0001 [1]3 years ago
7 0

Answer:

1/2

Step-by-step explanation:

Since it is given that the cone and the hemisphere have the same height, and since the height of a hemisphere would be equal to its radius, the cones height must also be equal to its base radius.

With this information we can use the respective volume formulas.

Hemisphere:  \frac{2}{3}πr^3

Cone:  \frac{1}{3}πhr^2

Since h (height) = r we can say the cone volume equals:

\frac{1}{3}πr^3

Now to find the ratio we divide the cone volume equation by the hemisphere volume equation

pi and r^3 cancels out from the division and we are left with

ratio = (1/3)/(2/3)

ratio = 1/2

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Find the volume of the cylinder if the height is 3 mm and the diameter is 40 mm. Leave the answer in terms of it.
KiRa [710]

The Volume of cylinder is 3770 cubic millimeters

But, the correct option is not available in options given.

Step-by-step explanation:

Height of cylinder = 3mm

Diameter of cylinder = 40mm

Volume of cylinder = ?

The formula used to find Volume of cylinder is:

Volume = \pi r^2h

Putting values in the formula:

Since we need radius,

radius = diameter/2

radius = 40/2

radius = 20 mm

So,

Volume = \pi r^2h\\Volume = 3.14*(20)^2*3\\Volume = 3.14*400*3\\Volume= 3769.91 or \,\,\,Volume\approx 3770\,\,cubic\,\,millimeters

The Volume of cylinder is 3770 cubic millimeters

But, the correct option is not available in options given.

Keywords: Volume of cylinder

Learn more about Volume of cylinder at:

  • brainly.com/question/12497249
  • brainly.com/question/6443737
  • brainly.com/question/12613605

#learnwithBrainly

6 0
3 years ago
-4r-8(r-6)=7(5r-1)+8
KATRIN_1 [288]

Answer:

r = 1

Step-by-step explanation:

In this question, we have to solve for the vallue of "r". We will use the distributive property shown below to ease our process.

Distributive Property:

a(b+c) = ab + ac

Now, lets solve this:

-4r-8(r-6)=7(5r-1)+8\\-4r-8r+48=35r-7+8\\-12r+48=35r+1\\48-1=35r+12r\\47=47r\\r=\frac{47}{47}\\r=1

As we have seen the value of r is "1"

6 0
3 years ago
How do you graph a linear function to a line graph
anygoal [31]

Answer:

use point slope form

y=mx+b

8 0
3 years ago
2 1/4 ⋅ 1 2/3<br> as a mixed number
Gemiola [76]

Answer:

3\frac{3}{4}

Step-by-step explanation:

We have two mixed numbers and are asked to multiply them together.

2 1/4 * 1 2/3

First we convert the mixed numbers into improper fractions to make it easier for us. So follow the MA rule.

Multiply the whole number by the denominator and add the numerator.

2 1/4 * 1 2/3

9/4 * 5/3

Now multiply across,

\frac{9*5}{4*3}

\frac{45}{12}

Now we need to convert this back into a mixed number.

So how many times does 45 go into 12?

3 times, and 3 are left.

3\frac{3}{4}

5 0
3 years ago
12(x - 6) = 2(x - 9)
nlexa [21]

Answer:

Exact form: x = 27/5

Decimal form: x = 5.4

Mixed-number form: x = 5 2/5

Step-by-step explanation:

hope this helps :)

8 0
2 years ago
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