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# Calculate The Surface Area of A Cylindrical Wedge

Last updated: Saturday, April 29, 2023
Select a cylindrical shape below
Right Cylinder
Hollow Cylinder
Oblique Cylinder
Right Truncated
Cylindrical Wedge

The surface area of a cylindrical wedge is the sum of its lateral surface area plus both the base and top surface areas. A cylindrical wedge is created from a cylinder by slicing it with a plane that intersects the base.

The formula for determining the surface area of a cylindrical wedge is defined as:
$$where$$
$$A_l$$ $$=$$ $$2$$ $$\cdot$$ $$h_w$$ $$\cdot$$ $$r$$ $$\cdot$$ $$\Big(\dfrac{\sin(\theta_1) - \theta_1 \cdot \cos(\theta_1)}{1 - \cos(\theta_1)}\Big)$$
$$A_t$$ $$=$$ $$h_{t1}$$ $$\cdot$$ $$r$$ $$\cdot$$ $$cos^{-1}(1$$ $$-$$ $$\dfrac{h_t}{h_{t1}})$$ $$-$$ $$h_{t1}$$ $$\cdot$$ $$r$$ $$\cdot$$ $$(1$$ $$-$$ $$\dfrac{h_t}{h_{t1}})$$ $$\cdot$$ $$\sqrt{\dfrac{2 \cdot h_t}{h_{t1}} - \dfrac{h_t^2}{h_{t1}^2}}$$
$$A_b$$ $$=$$ $$r^2$$ $$\cdot$$ $$\Big(\dfrac{2\theta_1 \cdot \pi}{360^\circ}$$ $$-$$ $$\dfrac{\sin(2\theta_1)}{2}\Big)$$
$$SA$$: the surface area of the cylinder
$$A_l$$: the lateral surface area of the wedge
$$A_t$$: the area of the top elliptical segment
$$A_b$$: the area of the base circular segment
$$r$$: the radius of the circular base
$$h_w$$: the height of the wedge
$$\theta_1$$: the angle between the base segment height and the radius
The SI unit of surface area is: $$square \text{ } meter\text{ }(m^2)$$

## Find $$SA$$

Use this calculator to determine the surface area of a cylindrical wedge when the height of the base circular segment is greater or equal to the base radius.
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the radius of the circular base
$$r$$
$$meter$$
the height of the wedge
$$h_w$$
$$meter$$
the angle between the base segment height and the radius
$$\theta_1$$
$$degree$$
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