Can someone help me :(
1 answer:
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Answer:
a
Step-by-step explanation:
The volume (V) of a cone is calculated as
V = πr²h ( r is the base radius and h the perpendicular height )
To calculate the height h use the right triangle formed by the radius and the inclined side.
Given diameter = 22, then r = 22 ÷ 2 = 11 cm
Using Pythagoras' identity on the right triangle, then
h² + 11² = 61² , that is
h² + 121 = 3721 ( subtract 121 from both sides )
h² = 3600 ( take the square root of both sides )
h = = 60
Thus
V = π × 11² × 60
= 3.14 × 121 × 60 ≈ 22796.4 cm³ → a
Answer:
The volume increases at a rate of
Step-by-step explanation:
The rate of change of the radius with respect to time is 4 mm / s.
So:
Now we must find a relationship between the volume of a sphere and its radius.
The equation of the volume of a sphere is:
So:
The diameter of the sphere is 100 mm. Therefore its radius is 100/2 = 50 mm.
So:
The volume increases at a rate of :
40000 π mm ^ 3 / s = 125663.71 mm^3/s