Question

If the diameter of the circular ends of a bucket which is 16cm high are 40cm and 16cm. Find the capacity and total surface area of the bucket

Answer 1

ATTACHMENT.........⛄
MARK BRAINLIEST

Answer 2

The total surface area and volume of bucket are 3218.28 sq.cm. and 210459.42 cubic cm respectively.

Step-by-step explanation:

Shape of bucket is frustum

Height of bucket = 16 cm

Diameter of bigger end = 40 cm

Radius of bigger end R=$\frac{40}{2}=20 cm$

Diameter of smaller end =16 cm

Radius of smaller end r=$\frac{16}{2}=8 cm$

Volume of bucket =$\frac{1}{3} \pi h (r^2+R^2+Rr)=\frac{1}{3} \times \frac{22}{7} \times 16 (8^2+20^2+(8)(20))=10459.42 cm^3$

Total surface area of frustum =$\pi (r+R) \sqrt{(R-r)^2+h^2}+\pi r^2+\pi R^2$

Total surface area of frustum =$\frac{22}{7}(20+8) \sqrt{(20-8)^2+16^2}+\frac{22}{7}(8)^2+\frac{22}{7}(20)^2=3218.28 cm^2$

Hence The total surface area and volume of bucket are 3218.28 sq.cm. and 210459.42 cubic cm respectively.

#Learn more:

If the radii of the circular ends of a conical bucket which is 32cm high are 40cm and 16cm find the capacity of total surface area of the bucket?

https://brainly.in/question/8447306