Question

three hemisphers of radius 3cm,4cm,5cm respectively are melted to form cone . what is the radius of the new cone formed if its height is twice of radius of cone​

Answer 1

Answer:

$volume = \frac{4}{3} \times \frac{1}{2 } \times \pi \times {r}^{3}$

Answer 2

Answer:

TO FIND : radius of cone

GIVEN,

three hemispheres radius = 3cm,4cm,5cm

Formula :

Volume of three hemispheres = vol. of cone

=> 2/3¶r³ +2/3¶r³ + 2/3¶r³ = 1/3¶r²h

=> 2/3 × 22/7 ( 9+16+25) = 1/3×22/7. R².2r

=> 2×50 = 2r³

=> 50 = r³

=> [r = 3.7cm] approx......