What is the surface area?
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Answer:
Surface Area of Cone = 200π cm^2
Surface Area of Right Prism = 17.5 ft^2
Step-by-step explanation:
32. We are given a figure of a cone and we are to find its surface area.
We know that the formula for the S.A. of cone is given by:
Surface Area of cone = [tex]\pi r(r+\sqrt{h^2+r^2} )[/tex]
Substituting the given values in the above formula.
Surface Area of cone = [tex]\pi \times 8(8+\sqrt{15^2+8^2} )[/tex] = 200π cm^2
25. We are to find the surface area of a right prism.
Surface Area of Right Prism = Base Perimeter × height + 2(Base Area)
Base Perimeter = 2(4 + 1.5) = 11 ft
Height = 0.5 ft
Base Area = 4 × 1.5 = 6 ft
Substituting these values in the above formula.
Surface Area of Right Prism = 11 × 0.5 + 2(6) = 17.5 ft^2
Answer:
Surface area of cone = 200π cm
Surface area of prism = 17.5 ft²
Step-by-step explanation:
To find the slant height of cone
slant height l = √(r² + h²)
= √(8² + 15²) = 17
To find the surface area of cone
Surface are = πr² + πrl
= π*8² + π*8*17
= 64π + 136π
= 200π cm²
To find the surface area of prism
l = 4 ft
b = 1.5 ft and h = 0.5 ft
Surface area = 2(lb + lh + bh)
= 2[(4* 1.5) + (4*0.5) + (1.5*.5)
= 2(6 + 2 +0.7.5)
= 17.5 ft²