Exit ticket · Surface Area & Volume: Cones, Spheres & Pyramids
- A cone has a base diameter of $8$ cm and a vertical height of $8$ cm.
Work out the volume of the cone. - A solid cone has base radius $9$ cm and vertical height $12$ cm.
Work out the total surface area of the cone.
Give your answer correct to 3 significant figures. (Curved surface area of a cone $= \pi r l$, where $l$ is the slant height.) - Two cones are joined base-to-base to make a solid.
Both cones have base radius $r$ cm.
One cone has slant height $4r$ cm and the other has slant height $5r$ cm.
The total curved surface area of the solid is $300\pi$ cm².
Work out the value of $r$.
Give your answer correct to 3 significant figures. (Curved surface area of a cone $= \pi r l$.)