Rose Harrison and Clara Huizink Solutions for Exercise 15: Mixed practice

Find the surface area and volume of the following $3D$ solid.

Find the surface area and volume of the following $3D$ solid.

Find the surface area and volume of the following $3D$ solid.

Find the surface area and volume of the following $3D$ solid.

Find the surface area and volume of the following $3D$ solid.

Find the surface area and volume of the following $3D$ solid.

The volume of a soccer ball is $5.6 {\mathrm{dm}}^3$. According to the regulations, the circumference of the ball must be between $68 \mathrm{cm}$ and $70 \mathrm{cm}$. Determine whether this soccer ball satisfies the regulations. Justify your answer.

Two paper cones are mathematically similar. The capacity of the larger cone is $8$ times the capacity of the smaller cone. The surface area of the smaller cone is $50 {\mathrm{cm}}^2$. Find the surface area of the larger cone.        [Enter the value excluding units]