The volume of a right circular cone is latex: v=\frac{1}{3}\pi r^2h v = 1 3 π r 2 h . suppose a cone has a constant height of h = 3 cm but its radius is changing. use the differential to estimate the change in volume as the radius changes from 5 cm to 4.64 cm.

V  =  (1/3)·π·r²·h                     First, multiply both sides by 3:

3V  =  π·r²·h                            Now, divide by π·h 

3V / (π·h)  =  r²                       Finally, take the square root of both sides:

±√[ 3V / (π·h) ]  =  r²              If you are in algebra, you need the ±; if you are in geometry, you probably                                                      don't (usaully, you don't have negative radii).

if you use photomath right away it will give you the answer not like this app that you have to wait for people.

d) 30 units^2

area of rectangle = l × b

we know,

length = 10 unit

breadth = 3 unit

applying the formula,

= l × b

= 10 × 3

= 30 unit^2

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