Question

A cubical block of side 7 cm is surmounted by a hemisphere. What is the largest diameter

Answer 1

Area of cube(excluding base)

A1=area of 4 walls+area of top

A1=4a^2+a^2

A1=5a^2

A1=5(7)^2

A1=5×49

A1=245cm^2

Let r be the largest radius of hemisphere from fig(2)

square ABCD in square of side 7cm

ln triangle ABC angle B=90

apply pythagoras th.

AC^2=AB^2+BC^2

(2r)^2=(7)^2+(7)^2

4r^2=98

r=√98/4

r=√24.5

Hence find required diameter

d=2r

d=2×√24.5

d=?

you find out its your job