A tent is a cylinder of radius 7 m and height 3 m with a cone of the same radius on top. The cone's vertical height is 24 m. How much canvas is needed for the tent, with no floor? Take $\pi = \frac{22}{7}$ .

550 m²Correct answerYour answer660 m²Correct answerYour answer682 m²Correct answerYour answer836 m²Correct answerYour answer

Show the answer and explanation

CorrectNot quiteAnswer C

Correct answer: C

Cylinder wall = $2\pi r h = 2 \times \frac{22}{7} \times 7 \times 3 = 132$ m².
Cone: slant height $\sqrt{7^2 + 24^2} = 25$ m, curved surface $\pi r l = 22 \times 25 = 550$ m².
Canvas = $132 + 550 = 682$ m².

Worth noting

836 m² adds a floor (154 m²) that the tent does not have. 660 m² uses the height 24 m in place of the slant height.

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

A tent is a cylinder of radius 7 m and height 3 m with a cone of the same radius on top. The cone's vertical height is 24 m. How much canvas is needed for the tent, with no floor? Take π=227\pi = \frac{22}{7}π=722​.