Question

CORRECT answer will get BRAINLIEST!

Answer 1

Answer:

678.24 ft³

Step-by-step explanation:

The figures are similar, hence

ratio of radii = 2 : 6 = 1 : 3 ← linear ratio

ratio of volume = 1³ : 3³ = 1 : 27

Hence

$V_{B}$ = 27 × 25.12 = 678.24 ft³

Answer 2

Radius of A : Radius of B
2 ft. : 6 ft.
1 : 3

$= \frac{1}{3} \pi {r}^{2} h : \frac{1}{3} \pi {(3r)}^{2} 3h \\ = \frac{ \frac{1}{3} \pi {r}^{2}h }{ \frac{1}{3}\pi {(3r)}^{2} 3h} \\ = \frac{ {r}^{2}h }{9 {r}^{2} \times 3h} \\ = \frac{ {r}^{2}h }{27 {r}^{2} h} \\ = > \frac{1}{27} = \frac{vol. \: of \: cone \: a}{vol. \: of \: cone \: b}$

Now,
Volume of Cone A = 25.12 ft³

So,
Volume of Cone B = 25.12 × 27 = 678.24 ft³.