A flower vase is in the form of a frustum of a cone. The perimeter of its bases are 44cm and 8.4 pie if the depth is 14cm then find how much soil it can hold
Answers
Answer:
882.57
Step-by-step explanation:
perimeter of smaller circle than perimeter of larger circle then volume of frustum
flower vase can hold 1,408.6 cm³ of soil
Step-by-step explanation:
A flower vase is in the form of a frustum of a cone
The perimeter of its bases are 44cm and 8.4 π
Perimeter = 2 * π r
2 * π r₁ = 8.4 π
=> r = 4.2
2 * π r₂ = 44
=> 2 (22/7) r₂ = 44
=> r₂ = 7
Volume of a frustum of a cone = (1/3) π (r₁² + r₂² + r₁r₂) h
= (1/3) (22/7) ( 7² + 4.2² + 7 * 4.2) 14
= (44/3)( 49 + 17.64 + 29.4)
= (44/3)(96.04)
= 1,408.6 cm³
flower vase can hold 1,408.6 cm³ of soil
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