Math, asked by rnrashmi02, 11 months ago

A bucket of height 8 cm and made up of copper sheet is in the form of frustum of a right circular cone
with radii of its lower and upper ends as 3 cm and 9 cm respectively. Calculate :
i) the height of right circular cone.
ii) the volume of water which can be filled in the bucket.
iii) the area of copper sheet required to make the bucket.

Answers

Answered by nkuvaeva2008
2

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

=

= 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

Read more on Brainly.in - https://brainly.in/question/7168324#readmore

Step-by-step explanation:

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