Answer:
Either one of these.
Step-by-step explanation:
volumepile=1/3 (PI r^2)h
but r=h/2, so
volume=1/12 PI h^3
dv/dt=10 ft^3/min
but dv/dt=1/12 PI 3h^2 dh/dt
solve for dh/dt
This assumes you mean by "altitude" the height. If you mean altitude as slant height, you have to adjust the fromula
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given: r = h/2
V = (1/3)π r^2 h
= (1/3)π (h/2)^2 (h)
= (1/12) π h^3
dV/dt = (1/4)π h^2 dh/dt
for the given data ...
10 = (1/4)π(25)dh/dt
dh/dt = 10(4)/((25π) = 1.6/π feet/min
4 x 0.90 = £3.60
£13.50 - £3.60 = £9.90
0.9 + 0.75 = £1.65
£9.90/£1.65 = 6
They bought 6 ice cream cones
We asked to solve the volume of the cone and we know that the formula for solving the volume is shown below:
V = 1/3*pi*r²*h where "r" for the radius and "h" for the height
We have the given values such as:
r= diameter/2 = 12/2
r= 6 inches
h=6 inches
Solving for the volume:
V= 1/3 *pi*6²*6
V=72pi in³
The answer is the letter "A" 72pi inches³.
It’s a flip of the graph on the x-axis
Therefore f(x) = - x^2 (NOT IN PARENTHESIS that would be a reflection on the y axis)
It’s a shift 4 y values down therefore
g(x) = - x^2 - 4