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3 years ago

The radius AND height of a cylinder are each doubled. What is the new volume?

Mathematics

1 answer:

Naya [18.7K]3 years ago

7 0

The volume of a cylinder is given by

$V = \pi hr^2$

Let $h\mapsto 2h$ and $r\mapsto 2r$

The new volume becomes

$V = \pi(2h)(2r)^2 = \pi\cdot 2h \cdot 4r^2 = 8\pi hr^2$

So, the new volume is 8 times the original volume. In fact, volume scales linearly with the height and quadratically with the radius.

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Please help :( not just the answer but also an explanation i don’t understand

Grace [21]

Answer:

x=5

Step-by-step explanation:

we can see:

20 inches= x +3x

so we have

20=4x

x=20/4

x=5

6 0

3 years ago

PLEASEEE HELPPPPPPP

Sholpan [36]

Answer:

0.4476

Step-by-step explanation:

4 0

3 years ago

Laura babysat 8 nights during the month of July. She earned $22, $30, $35, $25, $25, $20, and $27 for seven nights. How much did

Svet_ta [14]

Answer:

$28

Step-by-step explanation:

Given:

data = [22,30,35,25,25,20,27]

For eight night, the new list is:

new_data = [22,30,35,25,25,20,27,x]

Mean = 26.50

Mean Formula:

$\displaystyle \large{m=\dfrac{x_1+x_2+x_3+...+x_n}{n} }$

Therefore:

$\displaystyle \large{26.50=\dfrac{22+30+35+25+25+20+27+x}{8}}$

Multiply both sides by 8:

$\displaystyle \large{26.50\cdot 8=\dfrac{22+30+35+25+25+20+27+x}{8} \cdot 8}\\\displaystyle \large{212=22+30+35+25+25+20+27+x}$

Solve for x:

$\displaystyle \large{212=22+30+35+25+25+20+27+x}\\\displaystyle \large{212=184+x}$

Subtract 184 both sides:

$\displaystyle \large{212-184=184+x-184}\\\displaystyle \large{28=x}$

Therefore, she will earn $28 in eighth night

The attachment below is the result of combining all eighth data as we get 26.5 through python language with numpy package.

7 0

2 years ago

Read 2 more answers

A rock is thrown upward from a bridge that is 57 feet above a road. The rock reaches its maximum height above the road 0.76 seco

bekas [8.4K]

answer:

$f(t) = -9.9788169(t -0.76)^2 +57$

Step-by-step explanation:

On this question we see that we are given two points on a certain graph that has a maximum point at 57 feet and in 0.76 seconds after it is thrown, we know can say this point is a turning point of a graph of the rock that is thrown as we are told that the function f determines the rocks height above the road (in feet) in terms of the number of seconds t since the rock was thrown therefore this turning point coordinate can be written as (0.76, 57) as we are told the height represents y and x is represented by time in seconds. We are further given another point on the graph where the height is now 0 feet on the road then at this point its after 3.15 seconds in which the rock is thrown in therefore this coordinate is (3.15,0).

now we know if a rock is thrown it moves in a shape of a parabola which we see this equation is quadratic. Now we will use the turning point equation for a quadratic equation to get a equation for the height which the format is $f(x)= a(x-p)^2 +q$ , where (p,q) is the turning point. now we substitute the turning point