Respuesta :

Answer:

See below.

Step-by-step explanation:

1.  Volume of this cone = 1/3 * π *r^2 * h   ( where r = 1/2 diameter = 1/2 * 12 = 6)

=  1/3 *π * 6^2 * 19.6

= 738.90 units^3.

2.    Surface area of this sphere =  4 * π * r^2   (where  r = 1/2 * 5.5 = 2.75)

= 95.03 ft^2.

3.    Surface area =  4 π (0.5)^2  (note r = a/2 * 1 = 0.5)

= 3.14 m^2.

Answer:

1. 738.90 units³

2. 95.03 ft²

3. 3.14 m²

Step-by-step explanation:

1. Right circular cone volume is computed as follows:

V = π*r²*h/3

where r is the radius and h the height. Replacing with data:

V = π*6²*19.6/3 = 738.90 units³

2. Sphere surface area is computed as follows:

A = 4*π*r²

where r is the radius. Replacing with data:

A = 4*π*(5.5/2)² = 95.03 ft²

3. Following the same procedure as in 2:

A = 4*π*(1/2)² = 3.14 m²

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