+1439 Find the total surface area and the volume of the conical frustum below.
+290 To find the volume of this conical frustum, we can use the formula for the volume of the conical frustum which is:
V = (1/3) x π x h x (r² + R² + (r x R))
Plugging in the values, we get:
V = (1/3) x π x 92 x (25² + 33² + (25 x 33))
V = 92/3 x π x (625 + 1089 + 825)
V = 92/3 x π x 2539
V = 92/3 x π x 2539
V = 244612.781589
V ≈ 244612.78
Answer: V = 244612.78 units
To find the surface area of this conical frustum, we can use the formula for the surface area of the conical frustum which is:
SA = π x [ r²+ R² + (r + R) x √((r - R)² + h²) ]
Plugging in the values, we get:
SA = π x [ 25²+ 33² + (25 + 33) x √((25 - 33)² + 92²) ]
SA = π x [ 625 + 1089 + 58 x √(64 + 8464) ]
SA = π x [ 1714 + 58 x √8528 ]
SA = π x [ 1714 + 58 x 92.3471710449 ]
SA = π x [ 1714 + 5356.1359206 ]
SA = π x [ 7070.1359206 ]
SA ≈ 22211.49
Answer: SA = 22211.49 units
