Answer:
12 inches
Step-by-step explanation:
Suppose the ice cream scoop has the shape of a sphere of a radius (r) inches.
Thus, the top of the cone will also have a radius (r) inches.
Let consider h to be the height of the cone in inches.
So, the objective is to make the volume of the scoop of the ice cream to be the same as the volume of the cone.
To do that; we need to equate both volumes together and make h the subject of the formula:
The volume of a sphere = 4/3 πr³ and the volume of a cone = 1/3πr²h
4/3 πr³ = 1/3πr²h
Multiply both sides by 3
4πr³ = πr²h
4r = h
h = 4(3)
h = 12 inches
To contain all the ice cream inside the cone, the height of the ice cream cone needs to be 12 inches tall
Answer:
6 hrs
Step-by-step explanation:
Check the picture below.
now, the "x" is a constant, the rocket is going up, so "y" is changing and so is the angle, but "x" is always just 15 feet from the observer. That matters because the derivative of a constant is zero.
now, those are the values when the rocket is 30 feet up above.

Answer:
it's 0
Step-by-step explanation:
Simplify 3√a0x2√15
3√1*0*x*2√1*5
apply radical rule √a√a=a
√1√1=1
=3.0.2.1.5x
=0
The right answer is Option C.
Step-by-step explanation:
Given,
Diameter = 6 cm
Radius = 
Height = 8 cm
π = 
Surface area = 2πrh+2πr²
Surface area = 
Surface area = 
Surface area = 
Surface area = 207.4 cm²
Rounding off to nearest whole number
Surface area = 207 cm²
The surface area of cylinder is 207cm².
The right answer is Option C.
Keywords: surface area, cylinder
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