3 years ago

3 spheres of diameter 6cm,8cm and 10cm are melted to form a single sphere .find the diameter of the sphere.

Mathematics

1 answer:

julia-pushkina [17]3 years ago

4 0

Answer:

Step-by-step explanation:

6/2=3 cm is the radius V(4/3πr³) = 4/3.π.27…(1)

8/2= 4 cm is the radius and V = 4/3.π.64…..(2)

10/2=5 cm is the radius and V = 4/3.π.125…(3)

The Total Volume is the addition of (1)+(2)+(3) or 4/3π (27+64+125) or New volume is 4/3.π.(216) cm³ and therefore...

The radius of the New Solid Sphere is Cube Root of 216 (r³) = √6.6.6 or r = 6 cm and the diameter is 6.2 = 12 cms.

12 cms answer. Brainlist please?

You might be interested in

Prove : (sec θ - tan θ )^2 = 1 - sin θ /1+sin θ

labwork [276]

$(sec x - tan x)^2 \\ \\ = sec^2x - 2 sec x tan x + tan^2 x \\ \\ =(1+tan^2 x) - 2 sec x tan x +tan^2 x \\ \\ =1 - 2 sec x tan x + 2 tan^2 x \\ \\ = 1 - 2tan x(sec x - tan x) \\ \\ =1 - \frac{2 sin x}{cos x} (\frac{1-sin x}{cos x}) \\ \\ = 1 - \frac{2 sin x (1-sin x)}{cos^2 x} \\ \\ =1 - \frac{2 sin x (1-sin x)}{1-sin^2 x} \\ \\ =1 - \frac{2 sin x (1-sin x)}{(1-sin x)(1+sin x)} \\ \\ =1-\frac{2 sin x}{1+sin x}$