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jeanbeansmith2p2ofty
01.11.2019 •
Mathematics
Abucket is 20cm in diameter at the top, and 14cm in diameter at the bottom and 15cm deep.
calculate the:
a. capacity of the bucket in litres
b. curved surface area of the bucket
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Ответ:
A ) Capacity of the bucket = 3.441 liters
B ) Curved surface area of the bucket = 53.38 cm²
Step-by-step explanation:
Given in question as,
Diameter (D) of top of bucket = 20 cm , So Radius ( R ) =
= 10 cm
Diameter (d) of bottom of bucket = 14 cm , So r =
= 7 cm
Depth of bucket = 15 cm
So, from given values it is clear that bucket shape is of FRUSTUM
A ) From the above data , the volume of frustum is calculated
So,Volume of frustum =
×
× h ×( R² + r² +R ×r )
i,e Volume =
×
× 15 ×( 10² + 7² + 10×7 )
So, Volume =
× 219 = 3441.42 cm³ = 3.441 liters
Now covert this value in liters
∵ 1 cm³ = 0.001 liter
So, 3441042 cm³ = 3.441 liters
B) Curved surface Area =
(R + r)
CSA =
( 10 + 7)
CSA = 3.14 × 17 = 53.38 cm²
Hence The capacity of frustum is 3.441 liters and The curved surface area = 53.38 cm² Answer
Ответ:
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Step-by-step explanation: