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The circular ends of a bucket are of radii 35 cm and 14 cm and the height of the bucket is 40 cm, its volume is
- a)89009 cm3
- b)56090 cm3
- c)80080 cm3
- d)9000 cm3
Correct answer is option 'C'. Can you explain this answer?
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Most Upvoted Answer
The circular ends of a bucket are of radii 35 cm and 14 cm and the hei...
Given, radii of the bucket's circular ends: 35 cm and 14 cm
Height of the bucket: 40 cm
We need to find the volume of the bucket.
We can use the formula for the volume of a frustum of a cone to find the volume of the bucket.
Volume of frustum of a cone = (1/3) × π × h × (r₁² + r₂² + (r₁ × r₂))
Where,
h = height of the frustum
r₁, r₂ = radii of the circular ends of the frustum
Applying the formula, we get:
Volume of bucket = (1/3) × π × 40 × (35² + 14² + (35 × 14))
= (1/3) × π × 40 × (1225 + 196 + 490)
= (1/3) × π × 40 × 1911
= 80080 cm³
Therefore, the volume of the bucket is 80080 cm³, which is option (C).
Height of the bucket: 40 cm
We need to find the volume of the bucket.
We can use the formula for the volume of a frustum of a cone to find the volume of the bucket.
Volume of frustum of a cone = (1/3) × π × h × (r₁² + r₂² + (r₁ × r₂))
Where,
h = height of the frustum
r₁, r₂ = radii of the circular ends of the frustum
Applying the formula, we get:
Volume of bucket = (1/3) × π × 40 × (35² + 14² + (35 × 14))
= (1/3) × π × 40 × (1225 + 196 + 490)
= (1/3) × π × 40 × 1911
= 80080 cm³
Therefore, the volume of the bucket is 80080 cm³, which is option (C).
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Community Answer
The circular ends of a bucket are of radii 35 cm and 14 cm and the hei...
Given : Smaller radius =14cm
:Bigger radius =35cm
To find = Volume of bucket (frustum)
solution,
volume of frustum =1/3×22/7×40(14²+35²+14×35)
=1/3×22/7×40×1911
=80080cm³
Hence the option C is correct my friend...
:Bigger radius =35cm
To find = Volume of bucket (frustum)
solution,
volume of frustum =1/3×22/7×40(14²+35²+14×35)
=1/3×22/7×40×1911
=80080cm³
Hence the option C is correct my friend...
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The circular ends of a bucket are of radii 35 cm and 14 cm and the height of the bucket is 40 cm, its volume isa)89009 cm3b)56090 cm3c)80080 cm3d)9000 cm3Correct answer is option 'C'. Can you explain this answer?
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