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Igoryamba
3 years ago
14

A sphere and a right cylinder have the same radius and volume. The cylinder has a height of 8 feet. Find the radius.

Mathematics
1 answer:
siniylev [52]3 years ago
8 0

9514 1404 393

Answer:

  6 feet

Step-by-step explanation:

The volume of a cylinder is given by ...

  V = πr^2·h

For a sphere, the volume is ...

  V = 4/3πr^3

You want the volumes to be the same when h=8, so we have ...

  πr^2·8 = 4/3πr^3

Dividing by πr^2, we have ...

  8 = 4/3r

  r = 3/4·8 = 6

The radius is 6 feet.

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Answer:

The measure of arc BD is 147°

Step-by-step explanation:

we know that

If segment AB is perpendicular to segment CD

then

The measure of the inner angle CPA is a right angle (90 degrees)

Remember that

The measure of the inner angle is the semi-sum of the arcs comprising it and its opposite.

so

m∠CPA=(1/2)[arc AC+arc BD]

substitute the given values

90°=(1/2)[33°+arc BD]

180°=33°+arc BD

arc BD=180°-33°=147°

7 0
3 years ago
Lainey bought a set of 20 makers for $6 what is the cost of 1 marker? <br>​
loris [4]

Answer:

0.30

Step-by-step explanation:

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6/20=0.30

0.3 per maker.

Cost of 1 marker is $0.30

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3 years ago
Create a polynomial with zeros: x = {-2,3}<br> I have no idea how to do this
aliya0001 [1]

Standard form of polynomial = ax² + bx + c

Zeros: x = {-2,3}

This gives the factors as, (x + 2) (x - 3)

On expanding this:

(x + 2) (x - 3)

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4 0
2 years ago
Brainist to who answers this! ​
yanalaym [24]

Answer:

13t² + 2t + 9

Step-by-step explanation:

(9t² - 3t + 5) - (-4t² + 5t + 4)

Solving like terms

-(-4t²) becomes + 4t²

(9t² + 4t²) + (-3t + 5t) + (5+4) =

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If my answer is incorrect, pls correct me!

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4 0
3 years ago
Read 2 more answers
Whats the table for y=-4|x-5|+3 <br>how to solve absolute value function with a table and graph
zepelin [54]

Answer:

For a table for x and y values for this absolute value equation, it would look like this:

x --- y

3 --- (-5)

4 --- (-1)

5 --- 3

6 --- (-1)

7 --- (-5)

Step-by-step explanation:

When you are building a table for an absolute value graph, you start with the base formula for absolute value equations:

y = a|x-h| + k

In this equation (h, k) is the vertex and therefore the middle point. From there we go two numbers in each direction for our x values. And for every change in x, y changes by a factor of a.

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3 years ago
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