How do you calculate the volume of a cone with a radius of 4 in and a height of 9 in?

Using the formula V = $$\frac{1}{3}\text{π}r^2h$$ , the volume is V = $$\frac{1}{3}\text{π}(4)^2(9) = 48\text{π} \text{ in}^3$$ .

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

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

What is the difference between volume and surface area?

Volume measures the amount of space inside a solid, while surface area measures the total area of the surface of the solid.

If a cylinder has a height of 10 cm and a radius of 2 cm, what is its volume?

Using the formula V = $$\text{π}r^2h$$ , the volume is V = $$\text{π}(2)^2(10) = 40\text{π} \text{ cm}^3$$ .

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

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

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

Rearranging the volume formula V = $$\text{π}r^2h$$ gives h = $$\frac{V}{\text{π}r^2}$$ .

What is the formula for the surface area of a rectangular prism?

The surface area A of a rectangular prism is given by the formula: A = 2(lw + lh + wh), where l is the length, w is the width, and h is the height.

What is the slant height of a cone?

The slant height l of a cone is the distance from the base to the apex along the side of the cone, calculated using the Pythagorean theorem: l = $$\text{√}(r^2 + h^2)$$ .

Volume and Surface Area of Solids Flashcards

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15 questions

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1.

FLASHCARD QUESTION

Front

What is the formula for the volume of a cylinder?

Back

2.

FLASHCARD QUESTION

Front

What is the formula for the volume of a cone?

Back

3.

FLASHCARD QUESTION

Front

What is the formula for the volume of a sphere?

Back

4.

FLASHCARD QUESTION

Front

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

Back

5.

FLASHCARD QUESTION

Front

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

Back

6.

FLASHCARD QUESTION

Front

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

Back

7.

FLASHCARD QUESTION

Front

How do you calculate the volume of a cylinder with a radius of 3 cm and a height of 5 cm?

Back

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