A rectangular tub with dimensions 2m x 1m x 0.5m is filled with water using a pail of radius 0.1 m and height 0.35 m. How many pails of water will be required? Give your answer to the nearest whole pail.

Volume of tub Vt=2*1*0.5=1m^3

Volume og pail Vp=r^2*pi/4=01^2*3.14159/4=
0.01*3.14159/4=0.007853975m^3

Vt/Vp=1/0.007853975=127.324062

127 pails

Anonymus give the incorrect answer.

A=(r^2)*pi is Area of circle

Volume of right cylinder is:V=A*h
V=(r^2)*pi*h

So:
Volume of pail:

Vp=(0.1^2)*3.1415926535*0.35=
0.01*3.1415926535*0.35=
0.01099557428725m^3

Volume of tub Vt=2*1*0.5=1m^3

1/0.01099557428725=90.9456812

91 pails

To find out how many pails of water will be required to fill the tub, you need to calculate the volume of the tub and the volume of a single pail, and then divide the volume of the tub by the volume of a pail.

Step 1: Calculate the volume of the tub.
The tub has dimensions 2m x 1m x 0.5m.
The volume of the tub can be calculated using the formula V = l x w x h, where V is the volume, l is the length, w is the width, and h is the height.
In this case, the length (l) is 2m, the width (w) is 1m, and the height (h) is 0.5m.
So, the volume of the tub is V = 2m x 1m x 0.5m = 1 cubic meter.

Step 2: Calculate the volume of a pail.
The pail has dimensions of radius 0.1m and height 0.35m.
The volume of a pail can be calculated using the formula V = πr^2h, where V is the volume, π is a mathematical constant approximately equal to 3.14159, r is the radius, and h is the height.
In this case, the radius (r) is 0.1m and the height (h) is 0.35m.
So, the volume of a pail is V = 3.14159 x (0.1m)^2 x 0.35m = 0.011 cubic meters.

Step 3: Calculate the number of pails required.
To calculate the number of pails required, divide the volume of the tub by the volume of a single pail.
Number of pails = Volume of tub / Volume of a single pail
Number of pails = 1 cubic meter / 0.011 cubic meters = 90.91 pails
Rounding this to the nearest whole pail gives 91 pails.

Therefore, approximately 91 pails of water will be required to completely fill the tub.

To determine how many pails of water will be required to fill the rectangular tub, we need to find the volume of the tub and the volume of water that one pail can hold.

Step 1: Calculate the volume of the tub.
The volume of a rectangular tub is given by the formula:
Volume = length * width * height

Given that the dimensions of the tub are:
Length = 2m
Width = 1m
Height = 0.5m

Volume of the tub = 2m * 1m * 0.5m
Volume of the tub = 1m³

Step 2: Calculate the volume of water one pail can hold.
The volume of a cylinder-shaped pail is given by the formula:
Volume = π * r² * h

Given that the pail has:
Radius = 0.1m
Height = 0.35m

Volume of one pail = π * 0.1m * 0.1m * 0.35m
Volume of one pail = 0.0035π m³ (approximately)

Step 3: Determine the number of pails required.
To find the number of pails required, divide the volume of the tub by the volume of one pail.

Number of pails required = Volume of the tub / Volume of one pail
Number of pails required = 1m³ / 0.0035π m³
Number of pails required ≈ 90.44 (approximately)

Rounding to the nearest whole pail, we get:
Number of pails required ≈ 90

Therefore, approximately 90 pails of water will be required to fill the rectangular tub.