Area and Circumference
What is the definition of radius and diameter?
Radius is the distance from the center of a circle to the outside edge.
Diameter is the distance from one side of a circle to the other through the center.
How does 2 x pi x r x h represent the area of a rectangle?
The 2 pi r is the length, and the height is the width. Or vise versa.
1250cm3 is equivalent to how many ml?
1250ml
The volume of a cylinder is 6283.2 cm3, and its height is 20cm. What is the radius and surface area?
r = 10cm
SA = 1884cm2
If a duo in badminton is winning 66 -63, which side are they serving from?
right
What does pi represent?
The ratio of the circumference to the diameter.
A cylindrical tank has a diameter of 3.8m and a length of 12.7m. What is the surface area of the tank?
174m2.
What is the volume of a cylinder that has a radius of 12cm and a height of 2m?
90,432cm3.
A cylindrical container has a height of 50cm and a volume of 7,850 cm3. Find the radius of the cylinder and then determine its surface area.
R = 7.07cm
SA = 2533.98cm2
What is this embedded quotation missing (more than one thing)?
John F. Kennedy once said, "Ask not what your country can do for you – ask what you can do for your country." This famous line encourages citizens to think about their role in society.
The point and the citation
A slice of a round blue cheese is 244m wide. How much blue cheese is in 7 slices?
327,150m2.
A tom-tom hoop drum is made of stretched membranes, called heads, held tightly across a tubular shell. The drum has a diameter of 45 cm and a height of 45 cm—the shell of the drum is made of 5 layers of birch sheathing. How much sheathing is needed to make the shell?
6358.5cm2.
In the cafeteria at BMS, the garbage can is filled up twice every lunch hour. The garbage can is a cylinder with a radius of 25 cm and a height of 95 cm. Determine the volume of garbage produced in a 5-day week.
1,864,375cm3
Which continent is the only continent in all four hemispheres?
Africa
A wheel has an area of 424cm2. How far does the wheel travel after 5 turns?
It will travel 364.9cm
Coins can be stored in a plastic wrapper similar to a cylinder. A roll of dimes contains 50 coins. Each dime has a diameter of 17.5 mm and a thickness of 1 mm. Calculate the minimum surface area of the plastic wrapper.
3228.3mm2.
A cylindrical water storage tank has a height of 21.6m and a diameter of 10.5m. If the tank is full, how long would the water last in a community of 10000 people? Assume the average daily water use in the community is 604L per person. Give your answer to the nearest hour.
1) Volume = 3.14 x (5.25)2 x 21.6
= 1869.399m3
2) 1869.399m3 = 1,869,399L
3) Water consumption by one person in a day is 604L. Divide by 24 hours, which gives 25.17L per hour
4) Total consumption by a community is 25.17L x 10, 000 = 251700
5) Divide total volume of water in the tank by the total water consumption per hour to find out how long the water will last: 1,869,399L/ 251700L/hr
= 7.4 hours
Approximately how many schools are in the tdsb?
600