Discussion about math, puzzles, games and fun. Useful symbols: ÷ × ½ √ ∞ ≠ ≤ ≥ ≈ ⇒ ± ∈ Δ θ ∴ ∑ ∫ • π ƒ -¹ ² ³ °
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my answer for number 1 is 774pi
From this you can work out x.
Then you can get the volume of the frustrum by large cone minus small cone.
The curved surface area will be large minus small again.
Add in the area of the top and bottom circles.
Q2. When you roll that sector around to make a cone, the green line becomes the circumference of the base of the cone.
You know the radius is 15, so you can get the total circumference of the circle and then calculate 288/360 of it for the length of the green line.
Then you can work out the base radius of the cone.
The slant height of the cone will be 15, so you can use pythag to get the perpendicular height.
Then you can calculate the volume.
Hope that helps.
The two bases of a right conical frustum have radii 12 and 9. The two bases are 4 units apart. Let the volume of the frustum be V cubic units and the total surface area of the frustrum be A square units. Find V + A.