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Questions and Answers
What is the formula for finding the volume of a cylinder?
What is the formula for finding the volume of a cylinder?
$ ext{Volume} = ext{Base Area} imes ext{Height}$
What is the formula for the surface area of a cone?
What is the formula for the surface area of a cone?
$ ext{Surface Area} = ext{Base Area} + ext{Lateral Area}$
State the Pythagorean theorem.
State the Pythagorean theorem.
$a^2 + b^2 = c^2$
Explain the steps involved in finding the area of a trapezium.
Explain the steps involved in finding the area of a trapezium.
Describe the process of finding the perimeter of a rhombus.
Describe the process of finding the perimeter of a rhombus.
Explain the concept of finding the mean of a set of numbers.
Explain the concept of finding the mean of a set of numbers.
Flashcards
Volume of a cylinder
Volume of a cylinder
Volume equals the base area multiplied by the height.
Surface area of a cone
Surface area of a cone
Surface Area equals the base area plus the lateral area.
Pythagorean theorem
Pythagorean theorem
In a right triangle, the sum of the squares of the two shorter sides (a and b) equals the square of the longest side (c).
Area of a trapezium
Area of a trapezium
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Perimeter of a rhombus
Perimeter of a rhombus
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Mean of a set of numbers
Mean of a set of numbers
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Study Notes
Formulas and Theorems
- The formula for finding the volume of a cylinder is V = πr²h, where V is the volume, π is a constant approximately equal to 3.14, r is the radius of the base, and h is the height of the cylinder.
Surface Area of a Cone
- The formula for the surface area of a cone is SA = πr(r + l), where SA is the surface area, π is a constant approximately equal to 3.14, r is the radius of the base, and l is the slant height of the cone.
Pythagorean Theorem
- The Pythagorean theorem states that a² + b² = c², where a and b are the lengths of the legs of a right-angled triangle, and c is the length of the hypotenuse.
Area of a Trapezium
- To find the area of a trapezium, follow these steps:
- Measure or calculate the lengths of the parallel sides (a and b) and the height (h) of the trapezium.
- Multiply the height by the average of the lengths of the parallel sides: Area = (a + b) / 2 × h.
Perimeter of a Rhombus
- To find the perimeter of a rhombus, follow these steps:
- Measure or calculate the length of one side of the rhombus.
- Multiply the length by 4, since all sides of a rhombus are equal: Perimeter = 4 × side length.
Mean of a Set of Numbers
- To find the mean of a set of numbers, follow these steps:
- Add up all the numbers in the set to find the total sum.
- Divide the total sum by the number of items in the set: Mean = Sum / Number of items.
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