Suzi began fishing at 10:50 A. M and fished until 11:30 James finished fishing at 11:45 A. M. He fished for the same length of time as Suzi. At what time James start fishing?

11 : 05 A.M.

Step-by-step explanation:

Given:

Suzi began fishing at 10:50 A.M and fished until 11:30.

James finished fishing at 11:45 A.M.

He fished for the same length of time as Suzi.

Question asked:

At what time James start fishing?

Solution:

First of all we will find how long Suzi fished and to find we will subtract when she began from when she finished fishing:-

Hour              Minutes

 11                         30  ( Taking 1 carry from hour, means 60 min)

- 10                        50  ( 60 + 30 = 90 min - 50 min = 40 min)

 0 hour                40 minutes  

( 11 hour - 1 hour = 10 hours, 1 hour carry given)

( 10 hours - 10 hours = 00 hours )

That means she fished 40 minutes and James also fished 40 minutes.

Now, to know, at what time James start fishing, we will subtract when he finished fishing from 40 minutes.

Hour              Minutes

 11                        45          

- 00                      40          

 11                       05  

Thus, James start fishing at 11 : 05 A.M.

answer: ratio of volume of cone (with 3 times the height and equal diameter) to volume of cylinder is 2 to 1. the value of π is not used.

step-by-step explanation:

radius is diameter/2 = 4.

area of circle is π r^2.

volume of cylinder is height × area of base = hπr^2 = 3(4^2) π = 48π cubic inches.

not knowing the formula for volume of cone, i calculate it using calculus (which is for calculating things).

volume of cone is integral 0 to h area(y) dy. area(y) is π r(y)^2. r(y) runs r to zero as y runs zero to h, r(0) = r, r(h) = 0.

r(y) = r - r/h y

area(y) = π (r - r/h y)^2 = π (r^2 - 2r^2y/h + r^2y^2/h^2) = π r^2(1-2y/h+y^2/h^2)

antiderivative area(y) = π r^2 (y-y^2/h+y^3/(3h^2))

integral 0 to h = π r^2(h-h^2/h+h^3/(3h^2) - (0)) = π r^2(h - h + h/3) = π r^2(h/3) = π/3 r^2 h

volume of this cone is π/3(4^2)18 cubic inches.

= 6 16 π = 96π cubic inches.

cone has twice the volume, 96/48.

cone height is 6 times the cylinder.

ratio of volume formula: π r^2 cancels.

cone over cylinder ratio is 6h/3 to h, 2 to 1.