Best Answer

Imagine taking the ends off the cylinder, cutting the side down from end to end and unrolling the side; this creates a rectangle with the height of the cylinder along one edge and the circumference of the end along the other.

Thus area of side = circumference × height.

The ends of the cylinder are circles, thus:

area = π × radius²

→ radius = √(area ÷ π)

circumference = 2 × π × radius

→ circumference = 2 × π × √(area ÷ π) = 2 × √(area × π)

→ area side = 2 × √(area × π) × height

→ surface area of cylinder = 2 × area ends + area side

→ surface area = 2 × 11 units² + 2 × √(11 units² × π) × 11 units

→ surface area = 22 + 22 × √(11π) units²

→ surface area ≈ 22 + 129.33 units² ≈ 151 units²

Study guides

☆☆

Q: What is the surface area of a cylinder whose end area is 11 and height is 11 rounded to the nearest whole number?

Write your answer...

Submit

Still have questions?

Related questions

Its entire surface area works out as 747.7 square feet rounded to the nearest tenth

The surface area of a cylinder with a radius of 6 and a height of 7 equals 490.09 square units. (rounded).

150.796 m2 (rounded)

7.0

Find the surface area of a cylinder with a radius of 16 and a height of 23. Use 3.14 for π. Round your answer to the nearest te

240 pi = 753.98 square units (rounded)

Total surface area of a cylinder = (2*p*radius2)+(pi*diameter*height)Total surface area = 1130.973355 or 1131 square feet to the nearest square foot.

Surface area = 2 x Pai x radius x height = 2 x 3.14 x 11 x 11 = 759.88 = 760 SQ inch

2 pi *10 squared + 2 pi 10*8=1131.0 if its rounded to the nearest tenth. otherwise it would be 1130.973355

656

The surface area of this cylinder is 376.99ft2

37.69911184 rounded to 38 square feet

People also asked