Question

a bucket is in the form of a frustum of a cone of height 30 cm with the radii of its lower and upper circular ends as 10 cm and 20 cm respectively. find the capacity of the bucket. (use π = 3•14)​

Answer 1

Answer:

Capacity (or volume) of the bucket = [r21 + r22 + r1r2]

Here, h = 30 cm, r1 = 20 cm and r2 = 10 cm

So, the capacity of bucket = 3.14 x [202 + 102 + 20 x 10] cm3

= 21980 cu cm = 21.980 litres.

Cost of 1 litre of milk = Rs. 25

Cost of 21980 litres of milk = Rs. 21.980 x 25 = Rs. 549.50

Surface area of the bucket

= curved surface area of the bucket + surface area of the bottom

= straight pil(r1 + r2) + straight pir22

where l=

Now, l =cm = 31.62 cm

Therefore, surface area of the bucket = 3.14 x 31.62 (20 + 10) + 3.14 x

= 3.14 x 1048.6 cm2

= 3292.6 cm2 (approx)

Hope it helps you