Pls pls pls help!!!!!!

Mathematics

1 answer:

gtnhenbr [62]2 years ago

5 0

9514 1404 393

Answer:

ornament area = 379.8 cm²
paint needed: 114 bottles

Step-by-step explanation:

The surface area of one cone with slant height s and radius r is ...

SA = πr² +πrs = πr(r+s)

For the cone that is half an ornament, the surface area is ...

SA = (3.14)(4.2 cm)(4.2 cm + 10.2 cm) = 189.9072 cm²

The area of one ornament is the area of two cones:

one ornament area = 2×189.9072 cm² ≈ 379.8 cm²

60 ornaments will be 120 cones, so will have a total surface area of ...

total area = 120(189.9072 cm²) = 22,788.864 cm²

If one bottle of paint will cover 201 cm², then the number of bottles of paint required is ...

(22788.864 cm²)/(201 cm²/bottle) ≈ 113.4 bottles

You might be interested in

20 POINTS! WILL MAKE BRAINLIEST

SVETLANKA909090 [29]

1.a sphere with a radius of three units

By definition, the volume of a sphere is:
$V = ( \frac{4}{3} ) (\pi) (r ^ 3)
$
Substituting values we have:
$V=(\frac{4}{3})(\pi)(3^3)$
Rewriting we have:
$V = (4) (\pi) (3 ^ 2)

V = (4) (\pi) (9)

V = 36\pi$

2.a cone with a diameter of twelve units and a height of three units

By definition, the volume of a cone is given by:
$V = \frac{1}{3} (\pi) (r ^ 2) (h)
$
Substituting values we have:
$V = \frac{1}{3} (\pi) ((\frac{12}{2}) ^ 2) (3)
$
Rewriting we have:
$V = (\pi) (6 ^ 2)

V = 36\pi$