Question

Find the space occupied by the figure, when we rotate the figure about the line CD. 5 cm 6.5 cm 7 cm F 1 D 4 cm (a) 130.7 cm (c) 130.72 cm (b) 103.7 cm (d) 15.25 cm 3.​

Answer 1

Answer:

103.7 CM IS THE ANSWER

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Answer 2

Answer:

$103.7cm^3.$

Step-by-step explanation:

When we rotate a figure along the line $CD,$ we get a frustum of a cone.

Now, space occupied by the figure $=$ Volume of frustum of a cone

                                                           $=\frac{1}{3} \pi h(r^2_1+r_1r_2+r_2^2)$

                                                           $=\frac{1}{3} *3.14*6.5[2^2+(2*2.5)+(2.5)^2]$

Here, $r_1=2cm, r_2=2.5cm,h=6.5cm.$

                                                           $=6.80[4+5+6.25]$

                                                           $=6.80[15.25]=103.7cm^3$