Question

A bucket made up of metal sheet is in the form of a frustum of a cone of height 16 cm with radii of its lower and upper circular ends are 8cm and 20cm respectively.find the cost of metal sheet used to make the container, if it's cost₹8 per 100 cm square

Answer 1

Answer:

GIVEN :

Diameter of upper end of bucket =30cm

Radius of the upper end of the frustum of cone( r1) = 15cm

Diameter of lower end of bucket = 10 cm

radius of the lower end of the frustum of cone( r2) = 5 cm

H of the frustum of Cone = 24 cm

Slant height of bucket ( L)= √(h² + (r1- r2)²

L =√24² + (15 - 5)² = √576 + 10²

L =√(576+(100)= √676 = 26cm

L = 26 cm

Area of metal sheet require to make it = π(r1 + r2)L + πr1²

= 3.14(15 + 5) × 26 + π(5)²

= 3.14 × 20 × 26 + 25 × 3.14

= 3.14 (520+ 25)

= 545 × 3.14

= 1711.3 cm²

Read more on Brainly.in - https://brainly.in/question/3111819#readmore

Step-by-step explanation: