The base radius of a cone is 21 cm and the height is 28cm, then which of the following is/are correct?

(A) Slant height = 35 cm

(B) Slant height = 33 cm

(C) Volume = 12936 cm³

(D) Curved Surface Area = 2310 cm²

Choose the correct answer from the options given below:

Given base radius $r = 21$ cm and height $h = 28$ cm.

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Checking Statement (A): Slant height = 35 cm

The slant height is given by:

$l = \sqrt{r^2 + h^2}$

$l = \sqrt{21^2 + 28^2}$

$l = \sqrt{441 + 784}$

$l = \sqrt{1225}$

$l = 35$ cm

Statement (A) is correct.

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Checking Statement (B): Slant height = 33 cm

The slant height calculated above is 35 cm, not 33 cm.

Statement (B) is incorrect.

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Checking Statement (C): Volume = 12936 cm³

The volume of a cone is:

$V = \frac{1}{3} \times \pi \times r^2 \times h$

$V = \frac{1}{3} \times \frac{22}{7} \times 21^2 \times 28$

$V = \frac{1}{3} \times \frac{22}{7} \times 441 \times 28$

$V = \frac{22 \times 441 \times 28}{21}$

$V = 22 \times 21 \times 28$

$V = 462 \times 28$

$V = 12936$ cm³

Statement (C) is correct.

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Checking Statement (D): Curved Surface Area = 2310 cm²

The curved surface area is:

$\text{CSA} = \pi \times r \times l$

$\text{CSA} = \frac{22}{7} \times 21 \times 35$

$\text{CSA} = 22 \times 3 \times 35$

$\text{CSA} = 66 \times 35$

$\text{CSA} = 2310$ cm²

Statement (D) is correct.

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Statements (A), (C), and (D) are correct.