Write an algebraic expression which represents the volume of a cylinder whose radius is 3k and height is 2k + 1.

Mathematics

2 answers:

AlekseyPX3 years ago

8 0

V= Pi r^2 h
V = Pi (3k)^2 (2K+1) = Pi (9k^2)(2K+1)
V = (18K^3 + 9K^2 )Pi

pickupchik [31]3 years ago

5 0

V=hπr^2

V=(2k+1)π(3k)^2

V=π(2k+1)(9k^2)

V=π(18k^3+9k^2)

V=18πk^3+9πk^2

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Find the values for x and y.

vivado [14]

Both sides need to equal 180 (The side with the 90 degrees measurement and the side with equations). So first subtract 180 from 90
$180 - 90$
to get the measurement of 5x and you get 90 but we aren't done yet since we need to find x so now we need to divide 5 by 90
$90 \div 5 = 18$
and we get 18 which is X.
$x = 18$
Now we need to find the measurement of Y. Now both angles on that side together equals 180 so we need this equation.
$5(y + 11) + 4y - 10 = 180$
First, distribute 5(y + 11)
$5 \times y \\ 5 \times 11$
Then you get this equation :
$5y + 55 + 4y - 10 = 180$
Now, add the two equations together
$5y + 55 + 4y - 10$
and you get this equation

$9y + 45 = 180$
Now subtract 45 from both sides
$9y + 45 - 45 = 180 - 45$
and divide by 9 on both sides
$9y \div 9 = 135 \div 9$
and you get your answer
$y = 15$

So
$x = 18$
and
$y = 15$

8 0

3 years ago

SOVA2 [1]

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Step-by-step explanation:

Please see the attached files for details