The radius and height of a cone are 3cm and 2cm. How many balls of 1 cm diameter can be
moulded out of the cone?
Answers
Answer:
12 balls
Step-by-step explanation:
volume of cone = 1/3 × π × r^2 × h
= 1/3 × 22/7 × 3 × 3 × 2
= 22/7 × 6
= 132/7
= 18.85 cubic cm
volume of sphere = 4/3 × π × r^3
= 4/3 × 22/7 × 0.5 × 0.5 × 0.5
= 88/21 × 0.125
= 4.19 × 0.125
= 1.57
number of sphere we get by moulding cone
18.95 = x × 1.57
x = 18.95/1.57
x = 12
we get 12 balls
hope you get your answer
Answer:
Cone
r= 3 cm
h= 2 cm
Balls means circle shape ,
Sphere
d= 1cm
r= 1/2= 0.5 cm
Step-by-step explanation:
No. of balls =?
No. of balls = volume of cone /volume of sphere
No. of balls = 1/3πr square h divided by 4/3 πr cube
No. of balls = r square h / 4r cube
No. of balls =3×3×2/4×0.5×0.5×0.5
No. of balls = 3×3×2×10×10×10/4×5×5×5
No. of balls = 3×3×2×2
No. of balls = 36
Therefore, 36 balls can be moulded out of the cone
