Question

Hey Mate here is the question in the image..You will receive 15 points for it.. plz solve

(taking, π=22/7)
I hope the question is easy​

Answer 1

Answer:

1005.714 cm³

Step-by-step explanation:

Given that,

17(Surface area of sphere) = 32(Curved surface area of a cone)

17(4πr²) = 32(πrl)

17(4 × 22/7 × 8²) = 32(22/7 × 8 × l)

17 × 4 × 8 = 32 × l

17 × 32  = 32 × l

17 = l

So, the slant height of the cone is 17 cm.

Volume of cone = 1/3πr²h

We need to find the height of the cone to calculate its volume,

l² = r² + h²

17² - 8² = h²

289 - 64 = h²

225 = h²

h = √225

h = 15

Volume of cone = 1/3 × 22/7 × 8² × 15

= 22/7 × 64 × 5

= 7040/7

= 1005.714 cm³ [answer]

Hope this helps you!!!