Q:

The three-dimensional figure shown consists of a cylinder and a right circular cone. The radius of the base is 10 centimeters. The height of the cylinder is 16 centimeters, and the total height of the figure is 28 centimeters. The slant height of the cone is 13 centimeters. Which choice is the best approximation of the surface area of the figure? Use 3.14 to approximate pi.

Accepted Solution

A:
Answer:2,041 square centimetersStep-by-step explanation:surface area = (2 × π × r × h) + ((π × r) × (r+ (√(c² + r²))))+(π × r²)where,cylinder  base radius (r) = 10  cmheight of cylinder (h) = 16 cmtotal height = 28 cmcone height (c) = total height - height of cylinder = 28 - 16 = 12cmπ = 3.14surface area = (2 × 3.14 × 10 × 16) + ((3.14 × 10) × (10+ (√(12² + 10²))))+(3.14 × 10²)surface area = 1004.8 + (31.4 * 25.6) + 314surface area = 2122.64 cm²therefore the approximate surface area given is 2,041 square centimeters