面積與體積

In the figure, $OAB$ is a sector and $\widehat{AB}=\pi\text{ cm}$. Find the area of the sector.

The figure shows a right circular cone of base radius $6\text{ cm}$ and height $8\text{ cm}$. Find its volume.

In the figure, the solid consists of a right circular cone and a hemisphere with a common base. Find the total surface area of the solid.

In the figure, $ABCD$ and $PQRS$ are two rectangles of equal perimeter. If $AB:BC=3:2$ and $PQ:QR=4:3$, then area of $ABCD$ : area of $PQRS=$

The figure shows a rectangle inscribed in a circle. Find the area of the shaded region correct to the nearest $0.1\text{ cm}^2$.

The figure shows a parallelogram $ABCD$ with its diagonals meeting at $E$. If $AE=3\text{ cm}$ and $BE=2\text{ cm}$, find the area of the parallelogram correct to the nearest $0.1\text{ cm}^2$.

The figure shows a hemisphere, a right circular cone and a right cylinder with equal base radii. Their volumes are $a\text{ cm}^3$, $b\text{ cm}^3$ and $c\text{ cm}^3$ respectively.\nWhich of the following is true?

In the figure, $OCD$ and $OAB$ are two sectors. The length of $\widehat{AB}$ is

In the figure, $P$ and $Q$ are two right cylindrical vessels each containing some water. The two vessels are placed on the same horizontal surface. The internal base radii of $P$ and $Q$ are in the ratio $1:3$. $A$ and $B$ are two cubes with sides in the ratio $1:2$. $A$ and $B$ are put into $P$ and $Q$ respectively. Suppose both cubes are totally immersed in water without any overflow. If the rise in water level in $P$ is $1\text{ cm}$, then the rise in water level in $Q$ is

In the figure, the solid consists of a cylinder and a hemisphere with a common base of radius $6\text{ cm}$. Find the total surface area of the solid.