Someone !

a vat of milk has spilled on a tile floor. the milk flow can be expressed with the function r(t) = 4t, where t represents time in minutes and r represents how far the milk is spreading.

the spilled milk is creating a circular pattern on the tile. the area of the pattern can be expressed as a(r) = πr2.

part a: find the area of the circle of spilled milk as a function of time, or a[r(t)]. show your work. (6 points)

part b: how large is the area of spilled milk after 4 minutes? you may use 3.14 to approximate π in this problem. (4 points)

Part A:

Setting up the problem: A[r(t)] =  π (4t)^2

= Multiplying: A[r(t)] = 3.14 x 16t^2  

= Solving/  A[r(t)] = 50.24t^2

Part B: Area after 4 min of spilling = t=4

= r (4)= 4x4 =16

= Setting up the problem: A(16) = 3.14 x 16^2

= Multiplying:  A(16)= 3.14 x 256

= Solving/ A(16) = 803.84

= The spilled area of milk after 4 min is 803.84.

distance covered by pamela in 9 l of fuel = 99km

let us apply unitary method here.

distance covered by pamela in 1 l of fuel =99/9 =11 km

now let us find distance covered by pamela if she has 12 l of fuel.

distance covered in 12 l = distance covered in 1 l of fuel * 12

we know that distance covered by here in 1 l is 11 km.

so distance covered in 12 l of fuel = 11*12 = 132 km.