Question

please answer contains quality please maths legend please help

Answer 1

Answer:

3394 (2/7) cm³

Step-by-step explanation:

(i)

Given, Base area = 254 (4/7) = 1782/7

⇒ πr² = 1782/7

⇒ (22/7) * r² = 1782/7

⇒ 22 * r² = 1782

⇒ r² = 81

⇒ r = 9 cm.

(ii)

Given, curved surface area of the cone = 1159 (5/7) = 8118/7

⇒ πrl = 8118/7

⇒ (22/7) * 9 * l = 8118/7

⇒ 22 * 9 * l = 8118

⇒ l = 41 cm.

We know that Slant height (l²) = h² + r²

⇒ 41² = h² + (9)²

⇒ h² = 1600

⇒ h = 40 cm.

(iii)

We know that volume = (1/3)πr²h

⇒ (1/3) * (22/7) * (9)² * 40

⇒ (1 * 22 * 81 * 40)/21

⇒ 71280/21

⇒ 23760/7

⇒ 3394 (2/7) cm³.

Hope it helps!

Answer 2

Step-by-step explanation:

CSA of cone=22/7rl

Area of base=22/7r^2

From here, r=9 and l=41

Thus, by PGT, h=40

Since, volume=22/7×r2×h/3

3392.92 cm2