How to give justification for a given line segment of length 7 6cm divided in the rotio 5:8 - Maths - Constructions

Question

How to give justification for a given line segment of length 7
6cm divided in the rotio 5:8?

Mohil · Answer

Case: When triangle is rotated about the side 3 cm

Height of the cone = 3 cm Radius of the cone = 4 cm $n n ∴ n n Volume of cone n n (n n_{n v n n n 1 n n} n) n n â¢ n = n n \frac{n}{n 1 n} n â¢ n n n n π n â¢ n n n n (n 4 n n^{n) n n n 2 n n} n n n n n n n (n 3 n) n n n n n n n n n n n n n n n n n n n n n n n n n n n n n n n n n n n n n n n n n n n n n n n n n n n n n n n n n n n n n n n n n n n n n n n n n n n n n n n n n n n n n n n n n n n n n n n n n n n n n n n n n n n n n n n n n n n n n n n n n n n n n n n n n n n n n n n n n n n n n n n n n n n n n n n n n n n = n n 16 n â¢ n n n π n â¢ n n n n^{n cm n n n 4 n n} n n n â¢ n n$ Case: When triangle is rotated about the side 4 cm

Height of the cone = 4 cm Radius of the cone = 3 cm $n n ∴ n n Volume of cone n n (n n_{n v n n n 2 n n} n) n n â¢ n = n n \frac{n}{n 1 n} n â¢ n n n n π n â¢ n n n n (n 3 n n^{n) n n n 2 n n} n n n n n n n (n 4 n) n n n n n n n n n n n n n n n n n n n n n n n n n n n n n n n n n n n n n n n n n n n n n n n n n n n n n n n n n n n n n n n n n n n n n n n n n n n n n n n n n n n n n n n n n n n n n n n n n n n n n n n n n n n n n n n n n n n n n n n n n n n n n n n n n n n n n n n n n n n n n n n n n n n n n n n n n n n = n n 12 n â¢ n n n π n â¢ n n n n^{n cm n n n 4 n n} n n n â¢ n n$ Difference is the volume of two cones = v 1 – v 2 = (16π – 12π) = 4π cm3

How to give justification for a given line segment of length 7.6cm divided in the rotio 5:8?