Surface Areas and Volumes

The total surface area of a solid hemisphere of radius $r$ is:

The formula for the volume of a cylinder of radius $r$ and height $h$ is:

If the radius of a sphere is doubled, its surface area becomes:

The curved surface area of a right circular cone of radius $r$ and slant height $l$ is:

The total surface area of a solid cylinder of radius $r$ and height $h$ is:

The volume of a sphere of radius $r$ is:

The slant height ($l$) of a cone with radius $r$ and height $h$ is given by:

The volume of a cone of radius $r$ and height $h$ is:

If two cubes of dimensions $2\text{ cm} \times 2\text{ cm} \times 2\text{ cm}$ are joined end to end, the length of the resulting cuboid is:

The total surface area of a solid hemisphere of radius $7\text{ cm}$ is:

The volume of a hemisphere of radius $r$ is:

A cylindrical pencil sharpened at one edge is a combination of:

The total surface area of a cube of edge $a$ is:

The diagonal of a cuboid with dimensions $l$, $b$, and $h$ is:

If the radius and height of a right circular cone are $5\text{ cm}$ and $12\text{ cm}$ respectively, its slant height is:

A medicine capsule is in the shape of a cylinder with two hemispheres stuck to each of its ends. The total length of the capsule is $14\text{ mm}$ and the diameter of the capsule is $5\text{ mm}$. The length of the cylindrical part is:

The surface area of a sphere of radius $7\text{ cm}$ is ($\pi = \frac{22}{7}$):

If a solid piece of iron in the form of a cuboid of dimensions $49\text{ cm} \times 33\text{ cm} \times 24\text{ cm}$ is molded into a sphere, the radius of the sphere is:

The total surface area of a solid right circular cylinder of radius $7\text{ cm}$ and height $10\text{ cm}$ is ($\pi = \frac{22}{7}$):

If the radius of the base of a right circular cylinder is halved, keeping the height same, the ratio of the volume of the reduced cylinder to that of the original cylinder is: