Question

There is a square of side 14 cm. There are 4 semicircles in the middle of the figure which are 3cm apart from the side of the square. Find the area of the shaded region​

Answer 1

Answer

Let the radii and height of cone and cylinder be round h.

$CSA \boxed: of \blue: cylinder$

⇒squaring both sides t 2 4h 2

t 2 4h 2 =2564 Since l 2 =r 2 +h 2 ⇒ r 2 +h 2 4h2

= 25/64

⇒64(r2 +h 2)=25×4h 2

⇒64(r2 +h 2)=25×4h 2⇒16r 2 +16h 2 =25h 2

⇒64(r2 +h 2)=25×4h 2⇒16r 2 +16h 2 =25h 2⇒16r 2 =25h 2 −16h 2 =9h 2

⇒64(r2 +h 2)=25×4h 2⇒16r 2 +16h 2 =25h 2⇒16r 2 =25h 2 −16h 2 =9h 2 ⇒(4r) 2 =(3h) 2 ⇒4r=3h

⇒64(r2 +h 2)=25×4h 2⇒16r 2 +16h 2 =25h 2⇒16r 2 =25h 2 −16h 2 =9h 2 ⇒(4r) 2 =(3h) 2 ⇒4r=3h⇒ hr = 43 ∴r:h=3:4