Question

Example 4 : Mayank made a bird-bath for his garden
in the shape of a cylinder with a hemispherical
depression at one end (see Fig. 15.9). The height of
the cylinder is 1.45 m and its radius is 30 cm. Find the
toal surface area of the bird-bath. (Take r =​

Answer 1

Answer:

Hey dear if ur fig is this then here is ur answer.

If the figure and answer is right then plz mark me as the brainliest.

Step-by-step explanation:

Let r be the common radius of the cylinder and hemisphere and h be the height of the hollow cylinder.

Then r=30cm;h=1.45m=145cm

Total surface are of the bird-bath = curved surface area of the cylinder + curved surface area of the hemisphere

=2πrh+2πr

2

=2π(h+r)

=2×

7

22

×30(145+30)cm

2

=3.3m

Hope this will help you.

If you want to know anything more then ask me.

Answer 2

Let h be height of cylinder and ,r the common radius of cylinder and hemisphere.

Total, surface area of bird- bath

= CSA of cylinder + CSA of hemisphere

$\bf = 2πrh +2πr² \\ \\ \bf </p><p>= 2πrh+2πr²=2πr(r+h) \\ \\ \bf </p><p>= 2× \frac {22}{7} ×30(145+30) cm²</p><p>\\ \\ \bf =33000cm² \\ \\ \bf 3.3m²$