面積與體積

If the radius and the area of a sector are $12\text{ cm}$ and $48\pi\text{ cm}^2$ respectively, find the perimeter of the sector correct to the nearest $0.1\text{ cm}$.

In the figure, the total surface area of the solid right triangular prism is

If the volume of a solid hemisphere of radius $r$ is equal to the volume of a solid right circular cylinder of height $h$ and base radius $r$, then $r:h=$

The volume of a right circular cylinder of radius $R$ is twice the volume of another right circular cylinder of radius $r$. If the heights of these two circular cylinders are the same, then $R:r=$

In the figure, the total surface area of the solid right prism is

In the figure, $ABCD$ is a semicircle of diameter $26\ \text{cm}$. It is given that $CDEF$ is a rectangle such that $E$ and $F$ are points lying on $AB$. If $AE=1\ \text{cm}$, find the area of the rectangle $CDEF$.

In the figure, the area of the trapezium is $96\text{ cm}^2$. Find $x$.

The base of a solid right pyramid is a square. If the perimeter of the base is $48\text{ cm}$ and the length of each slant edge of the pyramid is $10\text{ cm}$, then the total surface area of the pyramid is

The base radius and the height of a right circular cylinder are $3\text{ cm}$ and $12\text{ cm}$ respectively while the base radius of a right circular cone is $6\text{ cm}$. If the volume of the circular cylinder and the volume of the circular cone are the same, then the height of the circular cone is

It is given that $A$, $B$ and $C$ are solid spheres. If the volume of $B$ : the volume of $C=1:8$ and the surface area of $A$ : the surface area of $B=9:4$, then the radius of $A$ : the radius of $C=$