Question

The height of the cylinder _______ cm, if the volume of the cylinder is 3224 cm cube and height is 7cm.

Answer 1

Answer:

Son's present age is 11 yrs.

Father present age is 32 yrs.

Explanation:

Given,

8 years ago father was 8 times his son's age.

Assume son's age 8 years ago as xx years.

∴ Father's age 8 years ago = 8x8x

Their present age :-

Son = (x + 8)(x+8) yrs.

Father's = (8x + 8)(8x+8) yrs.

After 10 years:-

Son = (x + 18)(x+18) yrs.

Father's = (8x + 18)(8x+18) yrs.

According to the question,

\implies \: (8x + 18) = 2(x + 18)⟹(8x+18)=2(x+18)

Solving for \boldsymbol xx

\implies \: 8x + 18 = 2x + 36⟹8x+18=2x+36

\implies \: 8x - 2x = 36 - 18⟹8x−2x=36−18

\implies \: 6x = 18⟹6x=18

\implies \: x = \dfrac{18}{6}⟹x=

6

18

\implies \: x = 3⟹x=3

Hence, their present age :-

Son = (x + 8)(x+8) = 11 yrs.

Father = (8x + 8)(8x+8) = 32 yrs.