Circles & Pi
Area of a circle, do (pi)(Radius) squared
Circumference of a circle, do (pi)(diameter)^2.
Volume of a Cylinder: (Area of Base)Height.
Volume of a cone: (Area of Base)(Height)/3, basically just 1/3 of the volume of a cylinder with the same base and height.
Surface area of a sphere: 4(area of a circle).
Surface area of a cylinder: 2(area of base) + (circumference of base)Height
Use 3.14 for pi for all questions.
If you want to know the answers to the questions, I will post them within a week.
Basics:
1. Find the area of a circle if the diameter of the circle is 6.
2. Find the circumference of a circle if the distance from the centre to the outer circle line, the circumference, is 12
3. Find the volume of a cylinder if the radius of the base is 2 inches, and the height is 3 times the base radius.
Word Problems:
1. Nadia went to Baskin Robbins for an ice cream cone. She was upset that they didn't have her favorite flavor, Strawberry Lemonade Punch, so she got her second favorite flavor, New York Cheese Cake. She didn't like New York Cheese Cake nearly as much as she liked Strawberry Lemonade punch, so she got a sugar cone, which the person working at Baskin Robbins ensured would hold less ice cream. The Ice cream Scooper told her that the amount that she would scoop was the volume of the cone. She took out her trusty pocket ruler and measured the radius as 2 centimeters or 0.8 inches. How much ice cream would she get? Express your answer in inches or centimeters cubed.
2. My brother was going to his best friends birthday party, and he had the perfect gift. He was going to give his best friend a brand new soccer ball! Now, we ran out of gift bags, and seemed to have a little square of wrapping paper. My brother wanted to wrap his soccer ball. But he wanted to use as little wrapping paper as possible, so that we could use if for future wrappings if we forgot to buy some. Find the least amount of wrapping paper we can use, if the radius of the ball is 5 inches. In other words, what is the surface area of the soccer ball?
This is a tricky problem. Try it, if its too hard for you, leave a comment, and I'll put up more easier ones.
3. Lima and her little sister Ankara were building a tower out of cans that they found in their pantry. The first can had a radius of 3 inches, the second, 2 inches, the third, 1 inch, and the last and highest one had a radius of 0.5 inches. All of the cans have a height of 4 inches. What is the surface area of the whole structure? Pretend the bases are stuck together, and the most bottom can is stuck to the floor. DO NOT COUNT THE BOTTOM CAN'S BASE.
Circumference of a circle, do (pi)(diameter)^2.
Volume of a Cylinder: (Area of Base)Height.
Volume of a cone: (Area of Base)(Height)/3, basically just 1/3 of the volume of a cylinder with the same base and height.
Surface area of a sphere: 4(area of a circle).
Surface area of a cylinder: 2(area of base) + (circumference of base)Height
Use 3.14 for pi for all questions.
If you want to know the answers to the questions, I will post them within a week.
Basics:
1. Find the area of a circle if the diameter of the circle is 6.
2. Find the circumference of a circle if the distance from the centre to the outer circle line, the circumference, is 12
3. Find the volume of a cylinder if the radius of the base is 2 inches, and the height is 3 times the base radius.
Word Problems:
1. Nadia went to Baskin Robbins for an ice cream cone. She was upset that they didn't have her favorite flavor, Strawberry Lemonade Punch, so she got her second favorite flavor, New York Cheese Cake. She didn't like New York Cheese Cake nearly as much as she liked Strawberry Lemonade punch, so she got a sugar cone, which the person working at Baskin Robbins ensured would hold less ice cream. The Ice cream Scooper told her that the amount that she would scoop was the volume of the cone. She took out her trusty pocket ruler and measured the radius as 2 centimeters or 0.8 inches. How much ice cream would she get? Express your answer in inches or centimeters cubed.
2. My brother was going to his best friends birthday party, and he had the perfect gift. He was going to give his best friend a brand new soccer ball! Now, we ran out of gift bags, and seemed to have a little square of wrapping paper. My brother wanted to wrap his soccer ball. But he wanted to use as little wrapping paper as possible, so that we could use if for future wrappings if we forgot to buy some. Find the least amount of wrapping paper we can use, if the radius of the ball is 5 inches. In other words, what is the surface area of the soccer ball?
This is a tricky problem. Try it, if its too hard for you, leave a comment, and I'll put up more easier ones.
3. Lima and her little sister Ankara were building a tower out of cans that they found in their pantry. The first can had a radius of 3 inches, the second, 2 inches, the third, 1 inch, and the last and highest one had a radius of 0.5 inches. All of the cans have a height of 4 inches. What is the surface area of the whole structure? Pretend the bases are stuck together, and the most bottom can is stuck to the floor. DO NOT COUNT THE BOTTOM CAN'S BASE.