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 =
8*3+6-2
8*3=24
24+6=30
30-2=28
8*3+6-2=28
Answer:
■ = 7
Explanation:
Because there two ratios are proportional as a result of being equal.
To find the missing part of the ratio, cross multiply, and solve for ■ by converting them into their equivilent fractions.
i.e a : b = a/b.
So 4 : ■ becomes 4/■. And 8 : 14 becomes 8/14.
i.e a/b = c/d → b × c = a × d → bc = ad
Now 4/■ = 8/14 → ■ × 8 = 14 × 4 → 8■ = 56.
8■/8 = 56/8
1■ = 7
■ = 7
This method works for a missing part pretty much anywhere.
____________________
This is a little faster for ratios:
To find the value of the unknown part of the ratio,
just find the factor between two corresponding numbers, and apply that to the known number corresponding to the unknown part.
4 : ■ = 8 : 14
Notice that 4 corresponds to 8
So the factor between these is 2.
Since from 8 to 4 is a multiple of 1/2. 8 × 1/2 = 4, and 14 × 1/2 = ■.
Therefore ■ = 14 × 1/2 = 14/2 = 7
Answer:
34.6
Step-by-step explanation:
In this triangle we have an angle which is 38° and the side opposite to it which is 27 and we have to find the adjacent side
There is only one formula which have these two sides
tan
tan∅ = opposite ÷ adjacent
tan 38° = 27 ÷ x
x = 27 ÷ (tan 38°)
x = 34.56
x≈ 34.6
