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?

  • $\pi r^2 + 2 \pi r h$
  • $2 \pi r (r + h)$
  • $\pi r (r + h)$ (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?

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

    What is the definition of a right pyramid?

    <p>A pyramid with a polygon as its base and sides that converge at a point called the apex</p> Signup and view all the answers

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

    <p>$rac{1}{2} b (h_b + 3h_s)$</p> Signup and view all the answers

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

    <p>$rac{1}{3} imes \pi r^2 imes H$</p> Signup and view all the answers

    What is the definition of a sphere?

    <p>A perfectly round solid, looking the same from any direction</p> Signup and view all the answers

    What is the shape of the base of a cone?

    <p>Circular</p> Signup and view all the answers

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

    <p>4πr^2</p> Signup and view all the answers

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

    <p>1/3b^2H</p> Signup and view all the answers

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

    <p>Polygon</p> Signup and view all the answers

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

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

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

    <p>It is perfectly round</p> Signup and view all the answers

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

    <p>1/3πr^2H</p> Signup and view all the answers

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

    <p>The line from the apex to the center of the base is perpendicular to the base</p> 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?

    <p>The height of the pyramid is perpendicular to the slant height of a triangular side.</p> Signup and view all the answers

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

    <p>It increases by a factor of 4.</p> 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?

    <p>24π cm^3</p> Signup and view all the answers

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

    <p>It increases by a factor of 4.</p> 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?

    <p>40 cm^2</p> Signup and view all the answers

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

    <p>(250/4)π cm^3</p> 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?

    <p>1 + (h / r)</p> 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?

    <p>4 cm</p> Signup and view all the answers

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