Gr 11 Math Ch 7: Right Pyremids, Cones and Spheres

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

$\pi r^2 + 2 \pi r h$
$2 \pi r (r + h)$
$\pi r (r + h)$ (correct)
$\pi r^2 + 3 \pi r h$

What is the formula for the volume of a sphere?

$rac{4}{3} \pi r^3$ (correct)
$\pi r^3$
$rac{2}{3} \pi r^3$
$rac{1}{3} \pi r^3$

What is the formula for the surface area of a square pyramid?

$b^2 + 4h_s b$
$b^2 + 2h_s b$
$2b^2 + h_s b$
$b (b + 2h_s)$ (correct)

What is the formula for the volume of a triangular pyramid?

$rac{1}{3} imes \left(rac{1}{2} b h ight) imes H$ (A) Signup and view all the answers

What is the definition of a right pyramid?

A pyramid with a polygon as its base and sides that converge at a point called the apex (B) Signup and view all the answers

What is the formula for the surface area of a triangular pyramid?

$rac{1}{2} b (h_b + 3h_s)$ (A) Signup and view all the answers

What is the formula for the volume of a right cone?

$rac{1}{3} imes \pi r^2 imes H$ (B) Signup and view all the answers

What is the definition of a sphere?

A perfectly round solid, looking the same from any direction (D) Signup and view all the answers

What is the shape of the base of a cone?

Circular (B) Signup and view all the answers

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

4πr^2 (B) Signup and view all the answers

What is the formula for the volume of a square pyramid?

1/3b^2H (A) Signup and view all the answers

What is the shape of the cross-section of a right pyramid?

Polygon (B) Signup and view all the answers

What is the formula for the surface area of a triangular pyramid?

1/2b(h_b + 3h_s) (A) Signup and view all the answers

What is the characteristic of a sphere that makes it look the same from any direction?

It is perfectly round (C) Signup and view all the answers

What is the formula for the volume of a right cone?

1/3πr^2H (A) Signup and view all the answers

What is the common feature of a right pyramid and a right cone?

The line from the apex to the center of the base is perpendicular to the base (B) Signup and view all the answers

What is the relationship between the height of a right pyramid and the slant height of a triangular side?

The height of the pyramid is perpendicular to the slant height of a triangular side. (A) Signup and view all the answers

How does the surface area of a sphere change when its radius is doubled?

It increases by a factor of 4. (B) Signup and view all the answers

What is the volume of a cone with a radius of 3 cm and a height of 6 cm?

24π cm^3 (B) Signup and view all the answers

How does the volume of a right pyramid change when its base area and height are both doubled?

It increases by a factor of 4. (A) Signup and view all the answers

What is the surface area of a triangular pyramid with a base area of 12 cm^2, a height of 4 cm, and a slant height of 5 cm?

40 cm^2 (A) Signup and view all the answers

What is the volume of a sphere with a surface area of 100π cm^2?

(250/4)π cm^3 (D) Signup and view all the answers

What is the ratio of the surface area of a right cone to the surface area of its base?

1 + (h / r) (D) Signup and view all the answers

What is the height of a square pyramid with a base side of 4 cm, a slant height of 5 cm, and a surface area of 48 cm^2?

4 cm (B) Signup and view all the answers

Gr 11 Math Ch 7: Right Pyremids, Cones and Spheres

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Questions and Answers

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

What is the formula for the volume of a sphere?

What is the formula for the surface area of a square pyramid?

What is the formula for the volume of a triangular pyramid?

What is the definition of a right pyramid?

What is the formula for the surface area of a triangular pyramid?

What is the formula for the volume of a right cone?

What is the definition of a sphere?

What is the shape of the base of a cone?

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

What is the formula for the volume of a square pyramid?

What is the shape of the cross-section of a right pyramid?

What is the formula for the surface area of a triangular pyramid?

What is the characteristic of a sphere that makes it look the same from any direction?

What is the formula for the volume of a right cone?

What is the common feature of a right pyramid and a right cone?

What is the relationship between the height of a right pyramid and the slant height of a triangular side?

How does the surface area of a sphere change when its radius is doubled?

What is the volume of a cone with a radius of 3 cm and a height of 6 cm?

How does the volume of a right pyramid change when its base area and height are both doubled?

What is the surface area of a triangular pyramid with a base area of 12 cm^2, a height of 4 cm, and a slant height of 5 cm?

What is the volume of a sphere with a surface area of 100π cm^2?

What is the ratio of the surface area of a right cone to the surface area of its base?

What is the height of a square pyramid with a base side of 4 cm, a slant height of 5 cm, and a surface area of 48 cm^2?

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