The base diameter of a cylinder is 21 cm and the height is 28 cm, then:

(A) Radius of cylinder = 10.5 cm

(B) Volume = 12936 cm³

(C) Curved Surface Area = 1848 cm²

(D) Total surface area = 2541 cm²

Which of the following is/ are correct?

Choose the correct answer from the options given below:

Given:

Base diameter $= 21$ cm

Height $= 28$ cm

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The radius is half of the diameter:

Radius $= \dfrac{21}{2}$

Radius $= 10.5$ cm

Statement (A) is correct.

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Volume $= \pi r^2 h$

Volume $= \dfrac{22}{7} \times (10.5)^2 \times 28$

Volume $= \dfrac{22}{7} \times 110.25 \times 28$

Volume $= \dfrac{22}{7} \times 3087$

Volume $= 22 \times 441$

Volume $= 9702$ cm³

Statement (B) claims 12936 cm³, which is incorrect.

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Curved Surface Area $= 2\pi r h$

Curved Surface Area $= 2 \times \dfrac{22}{7} \times 10.5 \times 28$

Curved Surface Area $= 2 \times 22 \times 10.5 \times 4$

Curved Surface Area $= 44 \times 42$

Curved Surface Area $= 1848$ cm²

Statement (C) is correct.

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Total Surface Area $= 2\pi r h + 2\pi r^2$

Total Surface Area $= 1848 + 2 \times \dfrac{22}{7} \times (10.5)^2$

Total Surface Area $= 1848 + 2 \times \dfrac{22}{7} \times 110.25$

Total Surface Area $= 1848 + \dfrac{44}{7} \times 110.25$

Total Surface Area $= 1848 + 44 \times 15.75$

Total Surface Area $= 1848 + 693$

Total Surface Area $= 2541$ cm²

Statement (D) is correct.

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Therefore, statements (A), (C), and (D) are correct.