Adam runs 9 feet per second.
1 answer:
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Answer:
The rate of change of the volume of the cylinder at that instant =
Step-by-step explanation:
Given:
Rate of increase of base of radius of base of cylinder = 7 mm/hr
Height of cylinder = 1.5 mm
Radius at a certain instant = 12 mm
To find rate of change of volume of cylinder at that instant.
Solution:
Let represent radius of base of cylinder at any instant.
Rate of increase of base of radius of base of cylinder can be given as:
Volume of cylinder is given by:
Finding derivative of the Volume with respect to time.
Plugging in the values given:
Using
(Answer)
Thus rate of change of the volume of the cylinder at that instant =
The area of the considered composite figure is given by: Option: 6π + 16 cm²
<h3>How to calculate the surface area of a composite figure?</h3>Surface area are derived for some standard shapes like circle, triangle, parallelogram, rectangle, trapezoid, etc.
When some shape comes which isn't standard figure, then we find its area by slicing it (virtually, like by drawing lines) in standard shapes. Then we calculate those composing shapes' area and sum them all.
Thus, we have:
That ∑ sign shows "sum"
For this case, the missing image is attached below.
As visible, the area of the figure = Sum of area of those 3 semi circles + Area of that square(its square because it has 4 equal sides in which adjacent sides are perpendicular) in between.
The side of the square is of 2+2=4 cm( as half of its side is 2 cm), thus, Area of that square = 4² = 16 cm²
All those 3 semicircles has radius = 2 cm
Since radius is same, so area of those 3 semicircle is same =
Thus, we get:
Area of the composite figure =
Learn more about area of a composite figure here:
