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IgorLugansk [536]
3 years ago
14

What is the diameter of a cone with height 8 m and volume 150 m3 ? (1 point 7.5 m 15 m?

Mathematics
1 answer:
Hitman42 [59]3 years ago
3 0
This is the concept of volume of solid materials, we are required to find the diameter of cone with height 8 and volume 150 m^3.
volume of cone is given by;V=1/3 (pi*r^2*h)
making r^2 the subject we get;
V/(pi*h)=r^2
inserting the values in our formula we get:
150/(pi*8)=r^2
r^2=5.97
thus;
r=sqrt(5.97)=2.44
But ;
diameter=2*radius
thus
diameter=2.44*2
=4.88 m
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A train to New York city leaves a station every 7 minutes. Another train to Boston leaves the station every 6 minutes. Suppose i
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Answer:

7:12 a.m

Step-by-step explanation:

Given that:

Train to New York city leaves station every 7 minutes

Train to Boston leaves station every 6 minutes

Current time = 6:30 a.m

Time both will leave station together is obtained by finding the least common multiple of 6 and 7

Multiples of ;

6 = 6, 12, 18, 24, 30, 36, 42, 48, 54, 60,...

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7 0
3 years ago
I need help SHOW YOUR WORK
earnstyle [38]

Answer:

F)\displaystyle \:  100\pi{ x}^{8} {y}^{2}  {z}^{ 6}

Step-by-step explanation:

we are given r and the formula

we want to find the surface area of the shpare with the given r

to do so

we need our algebra skills

substitute the value of r:

\displaystyle \: S = 4\pi( {5x}^{4} y {z}^{ 3} {)}^{2}

recall law of exponent

\displaystyle \:  ({x}^{m}  {)}^{n}  \iff \:  {x}^{mn}

to simplify:

\displaystyle \: S = 4\pi({ {5}^{2} x}^{4 \times 2} {y}^{1 \times 2}  {z}^{ 3 \times 2} )

simplify multiplication:

\displaystyle \: S = 4\pi({ 25x}^{8} {y}^{2}  {z}^{ 6} )

distribute:

\displaystyle \: S = 100\pi{ x}^{8} {y}^{2}  {z}^{ 6}

hence our answer is F

5 0
2 years ago
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The answer to that question is 38. 
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Read 2 more answers
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