Question

Rashid record at why are playing top Lattu as his birthday present with surprising he had no colour on it he wanted to colour it was his ke on the torch is shaped like a cone surmounted by a hemisphere the entire top is 5 cm in height and the diameter of the topic 3.5 cm find the area and has has two colour

Answer 1

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Answer 2

Answer:

Given, the height of entire top = 5 cm and the diameter of top = 3.5 cm

∴ radius of hemisphere =$\frac{3.5}{2}$=1.75

As both the hemisphere and cone are on the same base, therefore, 

radius of hemisphere = radius of cone = 1.75 cm

Now the height of cone
= height of top – radius of hemisphere
= (5 – 1.75) cm = 3.25 cm

In order to calculate the area of which Rasheed has to colour, we have to find out the sum of curved surface area of both the cone and the hemisphere.

∴ Area coloured = C.S.A of cone + C.S.A. of Hemisphere = πrl + 2πr2
 
$= \pi \: r(l + 2r)$

$|l = \sqrt{ {r}^{2} + {h }^{2} } \\ \: \: \: \: = \sqrt{ {(1.75) }^{2} + {(3.25)}^{2} } \\ \: \: \: = \sqrt{13.625} \\ \ \: \: = 3.69|$

$= \frac{22}{7} \times 1.75(3.69 + 2 \times 1.75) \\ \\ = ( \frac{22}{7} \times 1.75 \times 7.19) {cm}^{2} \\ \\ = 39.54 {cm}^{2}$

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