The students of a Vidyalaya were asked to participate in a competition for making and decorating pen holders in the shape of a cylinder with a base, using cardboard. Each pen holder was to be of radius 3 cm and height 10.5 cm. The Vidyalaya was to supply the competitiors with cardboard. If there were 35 competitiors, how much cardboard was required to be bought for the competition?
Answers
7920 cm² of cardboard was required to be bought for the competitors.
Step-by-step explanation:
Given:
Radius of the penholder (r) = 3 cm
Height of the penholder (h) = 10.5 cm
Cardboard required by 1 competitor = CSA of one penholder + area of the base
Cardboard required by 1 competitor = 2πrh + πr²
= [(2 × 22/7 × 3 × 10.5) +( 22/7 ×3²)]
= (198 + 198/7)
= 1584/7 cm²
Cardboard required for 35 competitors = (35 × 1584/7)
= 7920 cm²
Hence, 7920 cm² of cardboard was required to be bought for the competitors.
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Given:
- Radius of the penholder = 3 cm
- Height of the penholder l = 10.5 cm
Cardboard required by 1 competitor = 2πrh + πr²
= [(2 × 22/7 × 3 × 10.5) +( 22/7 ×3²)]
= (198 + 198/7)
= 1584/7 cm²
7920 cm² of cardboard was required to be bought for the competitors.