The volume of a cone

12 questions

1. A circular ___ is a 3D shape that has a circular base and one curved surface that narrows from the base to a fixed point called the apex or vertex.
2. The curved surface of this cone is unfolded into a circular sector. Match each measurement to its value.
3. Calculate the area of the curved surface of this cone. Give your answer correct to 3 significant figures.
4. Calculate the total surface area of this cone. Give your answer correct to 3 significant figures.
5. The slant length of this cone is ___ cm.
6. The total surface area, in term of \pi, of this cone is ___ \pi cm².
7. A __________ is a 3D shape that has a circular base and one curved surface that narrows from the base to a fixed point called the apex.
8. This paper cup is cone-shaped. It will take ___ full paper cups of water to fill this cylindrical coffee mug.
9. The cone and cylinder share the same radius and vertical height. The volume of the cylinder is 690 cm³. The volume of the cone is ___ cm³.
10. Which calculation gives the volume of this cone?
11. The volume of this cone is ___ cm³ to the nearest cubic centimetre.
12. The volume of this cone is 96𝜋 cm³. The total surface area of the cone, in terms of 𝜋, is ___𝜋 cm²

License: OGL