Let the bird bath

Geometry Level pending

Jack made a bird-bath for his garden in the shape of a cylinder with a hemispherical depression at one end. The height of the cylinder is 1.45m and its radius is 30cm. Find the total surface area of the bird-bath.

Take $\pi = \frac {22}{7}$

3.2 \text { m}^{2}

3.3 \text { m}^{2}

2.3 \text { cm}^{2}

2.3 \text { m}^{2}

1 solution

Abu Bakar Khan
Mar 13, 2016

Let $h$ be the height of the cylinder, and $r$ the common radius of the cylinder and hemisphere. Then, the total surface area of the bird bath

Then, the total surface area of the birdbath will be
$\Rightarrow$ Curved Surface Area of the cylinder + Curved Surface Area of hemisphere
= $2\pi rh + 2\pi r^2$
= $2 \times \frac {22}{7} \times 30(145+30) cm^2$
= $33000 cm^2$
= $\boxed{3.3 m^2}$

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Simple standard solution

Let the bird bath

1 solution

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