A solid wooden cone has a base radius of 7 cm and a height of 24 cm. What is its total surface area, including the base? Take $\pi = \frac{22}{7}$ .

528 cm²Correct answerYour answer550 cm²Correct answerYour answer682 cm²Correct answerYour answer704 cm²Correct answerYour answer

Show the answer and explanation

CorrectNot quiteAnswer D

Correct answer: D

Slant height = $\sqrt{7^2 + 24^2} = 25$ cm.
Total surface = $\pi r (l + r) = \frac{22}{7} \times 7 \times (25 + 7) = 22 \times 32 = 704$ cm².

Worth noting

550 cm² is the curved part alone. 682 cm² uses the height 24 cm in place of the slant height 25 cm, and 528 cm² does both.

Ten questions from Mensuration: Areas and Volumes, at your own pace.

Ten questions from Mensuration: Areas and Volumes, at your own pace.

A solid wooden cone has a base radius of 7 cm and a height of 24 cm. What is its total surface area, including the base? Take π=227\pi = \frac{22}{7}π=722​.