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

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

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

The surface area of a sphere is given by the formula: $$A = 4 \pi r^2$$ .

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

The volume of a rectangular prism is calculated using the formula: $$V = lwh$$ , where l is the length, w is the width, and h is the height.

If the volume of a pyramid is 72 yd³ and the base area is 36 yd², what is the height?

Using the formula $$V = \frac{1}{3} B h$$ , the height h can be found as: $$h = \frac{3V}{B} = \frac{3 \times 72}{36} = 6 \text{ yd}$$ .

What is the formula for the area of a circle?

The area of a circle is given by the formula: $$A = \pi r^2$$ .

How do you find the height of a cone if you know the volume and radius?

Rearranging the volume formula $$v = \frac{1}{3} \pi r^2 h$$ gives: $$h = \frac{3v}{\pi r^2}$$ .

What is the formula for the lateral surface area of a cone?

The lateral surface area of a cone is given by the formula: $$A = \pi r l$$ , where l is the slant height.

If a cone has a volume of 240 cm³ and a radius of 3 cm, what is the height?

Using the formula $$v = \frac{1}{3} \pi r^2 h$$ , the height h can be calculated as: $$h = \frac{3v}{\pi r^2} = \frac{3 \times 240}{\pi (3)^2} \approx 28.57 \text{ cm}$$ .

20 days Dec CRM Flashcards

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15 questions

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1.

FLASHCARD QUESTION

Front

What is the formula for the volume of a cone?

Back

2.

FLASHCARD QUESTION

Front

How do you find the missing side of a triangle using the Pythagorean theorem?

Back

3.

FLASHCARD QUESTION

Front

What is the volume of a pyramid?

Back

4.

FLASHCARD QUESTION

Front

If a cone has a radius of 7.5 cm and a height of 5 cm, what is the correct way to plug into the volume formula?

Back

5.

FLASHCARD QUESTION

Front

What is the volume of a cone with a radius of 7.5 cm and a height of 5 cm?

Back

6.

FLASHCARD QUESTION

Front

What is the formula for the area of a triangle?

Back

7.

FLASHCARD QUESTION

Front

How do you calculate the volume of a cylinder?

Back

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