A.
If you roll up the quarter circle and cap the open end with the smaller circle, the resulting shape should be a cone.
Answer:
the answer is 180 degrees.
a straight line is 180 degrees therefor m<1 + m<2+ m<3 = 180.
If I am right please mark me brainliest
Step-by-step explanation:
Answer:
7.5 ft³/min
Step-by-step explanation:
Let x be the depth below the surface of the water. The height, h of the water is thus h = 10 - x.
Now, the volume of water V = Ah where A = area of isosceles base of trough = 1/2bh' where b = base of triangle = 4 ft and h' = height of triangle = 1 ft. So, A = 1/2 × 4 ft × 1 ft = 2 ft²
So, V = Ah = 2h = 2(10 - x)
The rate of change of volume is thus
dV/dt = d[2(10 - x)]/dt = -2dx/dt
Since dV/dt = 15 ft³/min,
dx/dt = -(dV/dt)/2 = -15 ft³/min ÷ 2 = -7.5 ft³/min
Since the height of the water is h = 10 - x, the rate at which the water level is rising is dh/dt = d[10 - x]/dt
= -dx/dt
= -(-7.5 ft³/min)
= 7.5 ft³/min
And the height at this point when x = 8 inches = 8 in × 1 ft/12 in = 0.67 ft is h = (10 - 0.67) ft = 9.33 ft
Answer:
radius is 2.5
volume of ice cream is 58.9 cm cubed
Step-by-step explanation:
to calculate the volume of a cone v=pi x r^2 x (h/3)
v=volume
r=radius
h=height
^ means powers and roots
depth in cones is the same as height
v=3.14 x 2.5^2 x (9/3)
order of operations
v=3.14 x 2.5^2 x 3
v=3.14 x 6.25 x 3
v=19.625 x 3
v=58.875
round
v=58.9
