Question

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​

Answer 1

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