The Cone (Leaving Cert Mathematics): Quizzes

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The Cone
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12 questions from this quiz

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What is a right circular cone?

Vertex above centre of circular base

What is the perpendicular height hh of a cone?

Vertical distance vertex to base centre

What is the slant height ll of a cone?

Distance vertex to base edge point

Which formula relates slant height ll, perpendicular height hh, and radius rr?

l2=h2+r2l^2 = h^2 + r^2

What is the formula for the volume of a cone?

V=13πr2hV = \frac{1}{3}\pi r^2 h

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

πrl\pi r l

What is the total surface area of a solid cone?

πrl+πr2\pi r l + \pi r^2

Which height is used in the volume formula for a cone?

Perpendicular height hh

Which height is used in the curved surface area formula?

Slant height ll

A cone's base has diameter 20 cm. What radius should be used in formulas?

10 cm

A cone has h=12h = 12 cm and r=5r = 5 cm. What is the slant height ll?

13 cm

What should you do before calculating volume if slant height is given but perpendicular height isn't?

Use Pythagoras to find hh

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