Question

Find the value of x³+y³+15xy-125, if x+y=5

Answer 1

Question

A solid metallic spherical ball of diameter 6 cm is melted and recast into a cone with diameter of the base as 12 cm. The height of the cone is

(a)2 cm

(b)3 cm

(c)4 cm

(d)6 cm

\mathfrak\orange{Solution}Solution

\bold{Volume\:of\:sphere= Volume\:of\:cone}Volumeofsphere=Volumeofcone

\bold{ \frac{4}{3} \pi \times 3 \times 3 \times 3 = \frac{1}{3 }\pi \: r {}^{2} h} \:

3

4

π×3×3×3=

3

1

πr

2

h

\bold{ \frac{4}{3} \times 3 \times 3 \times 3 = \frac{1}{3}{ \times 6 \times 6 \times h}}

3

4

×3×3×3=

3

1

×6×6×h

\bold{h = \frac{108}{6 \times 6}}h=

6×6

108