The base area of a cylindrical wooden block is 254.34 cm² and its height is 13cm. What is its surface area?
2261 cm²
1242.62 cm²
1251.29 cm²
1261.29 cm²
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Answer:
1243.44 cm²
the options are incorrect.
Step-by-step explanation:
As, the radius is not given so let it be r cm.
the base area of the cylindrical wooden block = 254.34 cm²
So, as we know the base of the cylinder is circle
Then, πr² = 254.34
=> 3.14 × r² = 254.34
=> r² = 254.34/3.14
=> r² = 81
=> r = √81
=> r = 9
height of the cylindrical wooden block = 13cm
now, we have to calculate th surface area of the cylindrical wooden block = 2πr(h+r)
=> 2 × 3.14 × 9 × (13+9)
=> 2 × 3.14 × 9 × 22
=> 1243.44 cm²
HOPE THIS HELPS
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