Volume: Further problem solving with spheres, cones and pyramids

Maths

Volume and Surface Area Higher 3

If a solid metal sphere with radius 90 cm was melted down to make smaller spheres of with 3 cm radius, how many smaller spheres could be made?

The diagram shows a pencil crayon. The sharpened part of the pencil forms a cone attached to a cylindrical main part of the pencil. Work out the total volume of the pencil crayon to the nearest cm³.

The diagram shows a square based pyramid with a perpendicular height of 30 cm. Work out the volume of the pyramid.

Amy has not halved the volume of the sphere.

Amy has not used the correct formula for volume.

Amy is working out the volume of this hemisphere. What mistake has Amy made?

Work out the total surface area for this hemisphere rounded to 1 decimal place.

Work out the volume of this hemisphere rounded to 1 decimal place.

Exit Quiz