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mote1985 [20]
2 years ago
6

A cone has height $h$ and a base with radius $r$ . You want to change the cone so its volume is doubled. What is the new height

if you change only the height
Mathematics
2 answers:
Viktor [21]2 years ago
3 0

\textit{volume of a cone}\\\\ V=\cfrac{\pi r^2 h}{3}~~ \begin{cases} r=radius\\ h=height\\[-0.5em] \hrulefill\\ V=\stackrel{doubled}{2V} \end{cases}\implies 2V=\cfrac{\pi r^2 h}{3}\implies V=\cfrac{\pi r^2 h}{3\cdot 2} \\\\\\ V=\cfrac{\pi r^2}{3}\cdot \cfrac{h}{2}\implies V=\cfrac{\pi r^2\left( \frac{h}{2} \right)}{3}\qquad \textit{half the previous "h"}

grandymaker [24]2 years ago
3 0

Answer: 2h

Step-by-step explanation:

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Answer:

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3 years ago
A nursery has 10 tree seedlings to give out at 2 workshops. It wants to give out a minimum of 2 seedlings at each workshop. How
11111nata11111 [884]

We are given total 10 tree seedlings.

Number of workshops = 2.

Here order doesn't matters.

<em>When order doesn't matters we apply combination.</em>

We know formula of combination:

C(n,r) = \frac{n!}{r!(n-r)!}

For the given situation, we have

n=10 and r=2.

Plugging values in formula, we get

\frac{10!}{2!(10-8)!}  = \frac{10\times 9\times8!}{2!8!}

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3 years ago
If 3 is added to a number and the sum is multiplied by 7,gives 91 as result. Find the number.​
WINSTONCH [101]

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10

Step-by-step explanation:

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4 0
3 years ago
Read 2 more answers
What is 0.7b^3•0.4b^9
Dennis_Churaev [7]

It's an expression that can be simplified to read

       ( 0.7  x  0.4 ) ( b³  x  b⁹ )

   =  (      0.28    )  (    b¹²      )  =  0.28 b¹² .

4 0
3 years ago
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Vesnalui [34]

Answer:

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(1.41)^2+(b)^2=(2.24)^2

2+(b)^2=5

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Step-by-step explanation:

for a triangle, a missing value of the side can be found using pythagorean theorem which is (a)^2+(b)^2=(c)^2

replace it with the given value.

*note:(c)^2 should be the hypotenuse

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