Question

Answer the following questions given on the picture.​

Answer 1

Answer:

i) The height of the cone of which the bucket is a part of is 12 cm

ii) the volume of water which can be filled in the bucket is 312π cm³

iii) the area of metal sheet required to make the bucket is 129π cm²

Step-by-step explanation:

we have been given

h = 8 cm

r₁ = 9 cm

r₂ = 3 cm

Then slant height

L =  √(8² + 6²)

  = 10 cm

i) let h₁ be the height of the cone of which the bucket is a part of, so,

h₁ = hr₁/(r₁-r₂)

= 8 x 9/6

= 12 cm

ii) volume of the water which can be filled in the bucket

= 1/3πh (r² + R² + rR)

= 8π( 81 + 9 + 27)/3

= 8 x π x 117/3

= 312π cm³

iii) area of the metal sheet required to make the bucket = surface area

= πL(r₁ + r₂) + πr₂²

=π x 10 x 12 + 9π

= 129π cm²