Question 59

Three spheres of radii 3cm, 4cm and 5cm are melted to form a new sphere. The radius of the new sphere is

Solution

Share

Let radius of new sphere = $$r$$ cm

Volume of a sphere = $$\frac{4}{3}\pi r^3$$

=> $$\frac{4}{3}\pi r^3=(\frac{4}{3}\pi\times3^3)+(\frac{4}{3}\pi\times4^3)+(\frac{4}{3}\pi\times5^3)$$

=> $$r^3=27+64+125=216$$

=> $$r=\sqrt[3]{216}=6$$ cm

=> Ans - (A)

Get AI Help

View More Questions From Geometry

SRCC Quant Questions | SRCC Quantitative Ability

SRCC DILR Questions | LRDI Questions For SRCC

SRCC Verbal Ability Questions | VARC Questions For SRCC

Free SRCC Quant Questions

Book Free CAT Mentorship

Get personalized CAT strategy from a 99%iler

500+ students mentored
CAT mentor

Join CAT 2026 course by 5-Time CAT 100%iler

Start your IIM journey with the right preparation and crack CAT 2026.

Enroll Now
Ask AI