Question

In cylinder, radius and height is halved., then what is total surface area
A) 1/4 original
b) 1/3 original
c) halved
d 4 times

Answer 1

Answer:

B) 1/3 original

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Answer 2

Step-by-step explanation:

T. S. A OF CYLINDER IS 2πr(h+r)

2πr(h+r) --->1

LET "a" =2πr(h+r)

NOW r2=r/2,h2=h/2

T.S.A=

$\frac{2\pi \times r( \frac{h}{2} + \frac{r}{2} ) }{2}$

NOW TAKE LCM

=

$\frac{2\pi \times r( \frac{h + r}{2} )}{2}$

=

$\frac{2\pi \times r}{2} \times \frac{(h + r)}{2}$

=

$\frac{2\pi \times r(h + r)}{4}$

FROM THE 1ST EAUATION WE CAN CHANGE LIKE THIS.

=

$\frac{a}{4}$

=TSA/4

SO THE TSA OF THE CYCLINDER CHNAGED BY 1/4 TIMES.