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user100 [1]
2 years ago
12

A cylinder and a cone both have radius of 6". The height of the cone is 12". The height of the cylinder is 6". Which has the gre

atest volume?
Mathematics
1 answer:
Shkiper50 [21]2 years ago
4 0

Answer:

cylinder has greatest volume

Step-by-step explanation:

solution

given,

radius of cylinder(r)=6cm

height of cylinder (h)=6cm

we know,

volume of cylinder=πr^2h

=22÷7×6×6×6

=4752÷7

=678.857cm^3

radius of cone(r)=6cm

height of cone(h)=12cm

we know,

volume of cone=1÷3πr^3

= 1÷3×22÷7×6×6×6

= 4752÷21

=226.2857cm^3

as a result,cylinder has greatest volume

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If the slope of line a is -4/3 and the slope of line b is 3/4 line a and line b are perpendicular
Sauron [17]

Answer:

hi! so for perpendicular it's negative reciprocal!

so is -4/3 and 3/4 negative reciprocals?

oh and remember reciprocals are flipped!

if you still don't get it let me know aha

5 0
2 years ago
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Please help!!! I’ll mark you the Brainlyest!!
Tatiana [17]

Answer: C.

Step-by-step explanation:

i hope this helpes!!

3 0
3 years ago
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There are 276 students.
Lynna [10]

Step-by-step explanation:

Number of males is

  • 276 - 158 = 118

Number of males not enrolled

  • 118 - 82 = 36

Number of females not enrolled

  • 158 - 102 = 56

(a)

The table based on data is

<u>                 Enrolled        Not enrolled      Total  </u>

<u>Male            82                  36                     118    </u>

<u>Female        102                56                     158   </u>

Total            184                 92                     276

(b)

Percentage of students were males that went to magic college

  • enrolled male / total students =           (use table above)
  • 82/276*100% = 29.71% (rounded)

(c)

Percentage of females went to magic college

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7 0
2 years ago
a recipe calls for 8 cups of raspberries for every 21 people how many cups of raspberries are needed for the same recipe that wi
blagie [28]

Answer:

64 cups of raspberries

Step-by-step explanation:

8=21

?=168

21/8=2.625

so

168 / 2.625= 64

I hope this helps :)

8 0
3 years ago
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Which ordered pair is a solution to the system of linear equations 1/2x-3/4y=11/60 and 2/5x+1/6y=3/10
natka813 [3]

ANSWER

( \frac{2}{3} , \frac{1}{5} )

EXPLANATION

The first equation is

\frac{1}{2} x -  \frac{3}{4} y =  \frac{11}{60} ...(1)

The second equation is

\frac{2}{5} x  +  \frac{1}{6} y =  \frac{3}{10} ...(2)

We want to eliminate y, so we multiply the first equation by

\frac{4}{5}

\frac{4}{5}  \times \frac{1}{2} x - \frac{4}{5}    \times \frac{3}{4} y =  \frac{11}{60}  \times  \frac{4}{5}

\frac{2}{5} x - \frac{3}{5} y =  \frac{11}{75} ...(3)

We now subtract equation (3) from (2)

(\frac{2}{3} x  -  \frac{2}{3} x )+ ( \frac{1}{6} y -  -  \frac{3}{5}y ) =(  \frac{3}{10}  -  \frac{11}{75} )

\frac{1}{6} y  +  \frac{3}{5}y  =\frac{3}{10}  -  \frac{11}{75}

\frac{23}{30}y =  \frac{23}{150}

Multiply both sides by

\frac{30}{23}

\implies \:  \frac{30}{23} \times  \frac{23}{30}y=  \frac{23}{150}  \times  \frac{30}{23}

\implies \: y =  \frac{1}{5}

Substitute into the first equation to solve for x .

\frac{1}{2} x -  \frac{3}{4}  \times \frac{1}{5} =  \frac{11}{60}

Multiply to obtain

\frac{1}{2} x -  \frac{3}{20} =  \frac{11}{60}

\frac{1}{2} x = \frac{11}{60} + \frac{3}{20}

\frac{1}{2} x = \frac{1}{3}

Multiply both sides by 2.

2 \times \frac{1}{2} x =2 \times  \frac{1}{3}

x = \frac{2}{3}

The solution is

( \frac{2}{3} , \frac{1}{5} )

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3 years ago
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