How do you find the circumference of a circle?

The circumference C of a circle is calculated using the formula: $$C = 2\text{π}r$$ , where r is the radius.

What is the relationship between the radius and diameter of a circle?

The diameter d of a circle is twice the radius: $$d = 2r$$ .

What is the formula for the surface area of a cylinder?

The surface area SA of a cylinder is given by the formula: $$SA = 2\text{π}r(h + r)$$ .

What is the volume of a cylinder with radius 5 inches and height 6 inches?

Using the formula $$V = \text{π}r^2h$$ , the volume is $$V = \text{π}(5^2)(6) = 150\text{π} \text{ cubic inches}$$ .

How do you convert square inches to cubic inches?

To convert square inches to cubic inches, you need to multiply by the height (in inches) of the object.

What is the formula for the area of a trapezoid?

The area A of a trapezoid is calculated using the formula: $$A = \frac{1}{2}(b_1 + b_2)h$$ , where b_1 and b_2 are the lengths of the two bases and h is the height.

What is the formula for the volume of a cone?

The volume V of a cone is calculated using the formula: $$V = \frac{1}{3}\text{π}r^2h$$ .

What is the relationship between the volume of a cylinder and a cone with the same base and height?

The volume of a cone is one-third the volume of a cylinder with the same base and height: $$V_{cone} = \frac{1}{3}V_{cylinder}$$ .

Summative Unit 4 Geometric Modeling Flashcards

Student preview

15 questions

Show all answers

1.

FLASHCARD QUESTION

Front

What is the definition of radius in geometry?

Back

The radius is the distance from the center of a circle to any point on its circumference.

2.

FLASHCARD QUESTION

Front

What is the formula for the volume of a cylinder?

Back

3.

FLASHCARD QUESTION

Front

What is the difference between area, perimeter, and volume?

Back

Area measures the surface of a shape (2D), perimeter is the distance around a shape (2D), and volume measures the space inside a 3D object.

4.

FLASHCARD QUESTION

Front

How do you calculate the area of a rectangle?

Back

5.

FLASHCARD QUESTION

Front

What is the formula for the area of a triangle?

Back

6.

FLASHCARD QUESTION

Front

What is the formula for the volume of a rectangular prism?

Back

7.

FLASHCARD QUESTION

Front

What is the significance of π (pi) in geometry?

Back

π (pi) is a constant approximately equal to 3.14, representing the ratio of the circumference of a circle to its diameter.

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