Question

Question 1. Find the volume of the figure below.

Question 2. Find the surface area of the figure below.
Question 3. Find the surface area of the figure below.

Answer 1

See below.

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 2

1. 738.90 units³

2. 95.03 ft²

3. 3.14 m²

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