All categories

2 years ago

What is the height of the cylinder given v=904.78 cm^3 and r =6 cm ^2

1 answer:

7 0

V = (pi)r^2 * h
V / (pi)r^2 = h
V = 904.78
r = 6

904.78 / (3.14 * 6^2) = h
904.78 / (3.14 * 36) = h
904.78 / 113.04 = h
8.004 rounds to 8 = h........height is 8 cm

You might be interested in

You have just opened a new dance club, Swing Haven, but are unsure of how high to set the cover charge (entrance fee). One week

bonufazy [111]

Answer:

a) The demand function is

$q(p) = -4 p + 107$

b) The nightly revenue is

$R(p) = -4 p^2 + 107 p$

c) The profit function is

$P(p) = -4 p^2 + 133.75 p - 939$

d) The entrance fees that allow Swing Haven to break even are between 10.03 and 23.41 dollars per guest.

Step-by-step explanation:

a) Lets find the slope s of the demand:

$s = \frac{79-43}{7-16} = \frac{36}{-9} = -4$

Since the demand takes the value 79 in 7, then

$q(p) = -4 (p-7) + 79 = -4 p + 107$

b) The nightly revenue can be found by multiplying q by p

$R(p) = p*q(p) = p*( -4 p + 107) = -4 p^2 + 107 p$

c) The profit function is obtained from substracting the const function C(p) from the revenue function R(p)

$P(p) = R(p) - C(p) = p*q(p) = -4 p^2 + 107 p - (-26.75p + 939) = \\\\-4 p^2 + 133.75 p - 939$

d) Lets find out the zeros and positive interval of P. Since P is a quadratic function with negative main coefficient, then it should have a maximum at the vertex, and between the roots (if any), the function should be positive. Therefore, we just need to find the zeros of P

$r_1, r_2 = \frac{-133.75 \,^+_-\, \sqrt{133.75^2-4*(-4)*(-939)} }{-8} = \frac{-133.75 \,^+_-\, 53.526}{-8} \\r_1 = 10.03\\r_2 = 23.41$

Therefore, the entrance fees that allow Swing Haven to break even are between 10.03 and 23.41 dollars per guest.

7 0

3 years ago

Find the area of the figure to the nearest hundredth.<br><br>

marysya [2.9K]

Answer:

51.26 ft

Step-by-step explanation:

First find the area of the triangle:

a=1/2 base times height

a=(1/2)(6)(4)

a=12 ft

Now find the area of the circles:

a= pi times radius squared

a= pi times 2.5 squared

a=19.63 ft

19.63 + 12 = 31.63 ft

5 0

2 years ago

Evaluate (4)^-4 pls answer!!!

geniusboy [140]

Answer:

Fraction: 1/256 or

Decimal: 0.00390625 or 0.00391

Step-by-step explanation:

4^-4=1/4^4

4^4=256

=1/256

8 0

3 years ago

ASAP!! Please help me. I will not accept nonsense answers, but will mark as BRAINLIEST if you answer is correctly with solutions

EleoNora [17]

Answer:

Option C is the correct option.

Step-by-step explanation:

$f(x) = a {x}^{2} + bx + c$

Discriminant = ${b}^{2} - 4ac$

Given d = 15

When discriminant D > 0 --> roots are real and distinct. ( unequal )

So , ${3}^{rd}$ option has real and distinct roots.

Hope this helps..

Best regards!!

4 0

3 years ago

Maggie is building bird houses for all of her friends. she has 77.5 feet of wood planks. She makes 5 bird houses and has 12 feet

sladkih [1.3K]

Answer:

13.1 FEET OF WOOD FOR EACH HOUSE

Step-by-step explanation:

77.5-12=65.6

65.5/5= 13.1

hope this helps

5 0

2 years ago