Ineed to find the surface area and volume of all three figures. if you could provide what equations you used to i will be grateful : )

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Part 1) Sphere The surface area is equal to and the volume is equal to

Part 2) Cone The surface area is equal to and the volume is equal to

Part 3) Triangular Prism The surface area is equal to and the volume is equal to

Step-by-step explanation:

Part 1) The figure is a sphere

a) Find the surface area

The surface area of the sphere is equal to

we have

----> the radius is half the diameter

substitute

b) Find the volume

The volume of the sphere is equal to

we have

----> the radius is half the diameter

substitute

Part 2) The figure is a cone

a) Find the surface area

The surface area of a cone is equal to

we have

Applying Pythagoras Theorem find the value of l (slant height)

substitute the values

so

b) Find the volume

The volume of a cone is equal to

we have

substitute

Part 3) The figure is a triangular prism

a) The surface area of the triangular prism is equal to

where

B is the area of the triangular base

P is the perimeter of the triangular base

L is the length of the prism

Find the area of the base B

Find the perimeter of the base P

we have

substitute the values

b) Find the volume

The volume of the triangular prism is equal to

where

B is the area of the triangular base

L is the length of the prism

we have

substitute

answer: (c) m∠qpo + (2x + 16)° = 180°

step-by-step explanation:

the opposite angles of a quadrilateral are supplementary.

so, ∠o + ∠q = 180°   and   ∠p + ∠r = 180°

since ∠r = 2x + 16°, we can use substitution as follows:

∠p + ∠r = 180°

∠p + (2x + 16)° = 180°

h= 12 inches

step-by-step explanation: