aptitude
posted by amit sharma .
Uncle Bert was making porridge in a cylindrical pan of diameter 24cm. The spoon he was using is 26 cm long. It accidentally falls and sinks into the porridge. Calculate the minimum volume of porridge necessary to hide the spoon. You may ignore the volume of the spoon.
1. 5523.9cm3
2. 6525.9cm3
3. 4225.9cm3
4. 4525.9cm3

aptitude 
Steve
26^224^2 = 100
So, the porridge must be at least 10 cm deep.
The volume of porridge is thus at least 1440π = 4523.9 cm^3 
aptitude 
amit sharma
hw did u get dis ??
The volume of porridge is thus at least 1440π 
aptitude 
Steve
volume of a cylinder v = πr^2 h
They wouldn't be asking this kind of question if you hadn't learned that.
Now, how did I get a depth of 10 cm?
Draw a diagram of the pot and spoon, as seen from the side. The spoon is lying with one end on the bottom of the pot, and the other end leaning against the side of the pot.
Recall the Pythagorean Theorem. You have a right triangle with the spoon forming the hypotenuse, and the diameter of the bottom of the pot forming one leg. If the depth is d,
24^2 + d^2 = 26^2
d=10
Whenever you get one of these problems, it always pays to draw a diagram, and review what you have studied so far. The answer will come from using the topics covered; these are not just random problems pulled out of a hat.
Respond to this Question
Similar Questions

physics
An aluminum saucepan with a diameter of 18 cm and a height of 6.0 cm is filled to the brim with water. The initial temperature of the pan and water is 19°C. The pan is now placed in a refrigerator and cooled to 9°C. Calculate the … 
Math
Using 3.14 for pi, rounding to the nearest tenth, if necessary. A spherical storage tank has a diameter of 48 ft and is full of water. How many delivery trucks with cylindrical tanks measuring 8 ft in diameter and 10 ft long can be … 
English
Fill in the blank with possessive nouns from familiar fairy tales. 1. Goldilocks ate the BLANK porridge. 2. Jack climbed the beanstalk and stole the BLANK treasures. 3. The three Billly Goats Gruff crossed over the BLANK bridge. 
math
The fuel rods for a certain type of nuclear reactor are bundled into a cylindrical shell. Consider this crosssection showing 19 identical fuel rods: a) If the diameter of the cylindrical shell is 12.35 cm, calculate the shaded area … 
Maths
Calculate the volume and curved surface area of a cone 14cm in base diameter and 24cm high 
7th Grade Math
You are pouring water from a cylindrical can is 7 cm in diameter and 10 cm high into a rectangular pan that is 20 cm in width, 9 cm in length and 14 cm deep. How many cans, can you pour into the pan? 
math
You are pouring water from a cylindrical can is 7 cm in diameter and 10 cm high into a rectangular pan that is 20 cm in width, 9 cm in length and 14 cm deep. How many cans, can you pour into the pan? 
English
What's your favorite food? 1. My favorite food is rice porridge. 2. My favorite food is rice soup. 3. My favorite food is rice gruel. 4. My favorite food is a hamburger. 5. My favorite food is hamburgers. 6. My favorite food is humburger. 
English
Evaluate which of the following is the best example of a summary. A.In Goldilocks and the Three Bears, a character named Goldilocks sneaks into a home owned by bears. She eats a bowl of porridge and falls asleep in the house. When … 
Marh
A solid sphere of diameter 18cm is placed in an empty vertical cylindrical tank of diameter 24cm enough water is poured into the tank to cover the sphere if the sphere is then removed how far does the water fall