Question

If the radii of the circular ends of a bucket of height 40 cm are of lengths 35 cm and 14 cm, then the volume of the bucket in cubic centimeters, is
(a)60060
(b)80080
(c)70040
(d)80160

Answer 1

Answer:

The volume of the bucket is 80080 cm³.

Among the given options option (b) 80080 cm³ is  the correct answer.

Step-by-step explanation:

Given :  

Height of the bucket ,h = 40 cm

Radius of the upper part of the bucket,R = 35 cm

Radius of the lower radius of the bucket, r = 14 cm

Volume of the bucket , V = ⅓πh ( R² + r² + Rr)

V = ⅓ × 22/7 × 40 (35² + 14² + 35×14)

V = 22× 40/21 (1225 + 196 + 490)

V = 22× 40/21 (1911)

V = 22 × 40 × 91

V = 880 × 91

V = 80080 cm³

Volume of the bucket = 80080 cm³

Hence, the volume of the bucket is 80080 cm³.

HOPE THIS ANSWER WILL HELP YOU….

 

Answer 2

Answer:

The Volume of the Bucket = 80080 cm^3.

Step-by-step explanation:

Bucket is a frustum of a right circular cone.

Here,

• R = 35cm
• r = 14cm
• h = 40cm

Volume of frustum of cone =

πh /2 (R^2 + r^2 + Rr)

= 22/7 × 40/3 (35^2 + 14^2 + 35 × 14)

= 880/21 (1225 + 196 + 490) = 880/21 × 1911

= 80080 cu.cm

Answer :

Hence, Volume of a bucket is 80080^3.

@SSR