Math, asked by srujanapatha13, 7 months ago

Q27 The curved surface area of a right circular cone is 1056 cm2 and its slant helght Is 21 cm. Its radius is:
Ops: A.
O 16 cm
В.
O 12 cm
C.
O 18 cm
D.
O 14 cm​

Answers

Answered by palak8590
0

Answer:

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Answered by Aryan0123
6

Given:

✪ CSA of Right Circular Cone = 1056 cm²

✪ Slant Height = l = 21 cm

To find

➳ Radius = ?

Method:

 \sf{CSA \:  of \:  cone  = \pi \times r \times l} \\  \\  substitute \: value \: of \: csa \: and \: slant \: height \\  \\ \implies \sf{1056 = \pi \times r \times 21  } \\  \\  \implies \sf{\pi \times r =  \frac{1056}{21} } \\  \\  \implies \sf{ \frac{22r}{7}  =  \frac{1056}{21} } \\  \\ on \: cross \: multiplication \\   \sf{22r \times 21 = 1056 \times 7} \\  \\  \implies \sf{r =  \frac{1056 \times 7}{22 \times 21} } \\  \\  \implies \sf{r =  \frac{7392}{462} } \\  \\  \therefore \boxed{ \sf{radius = 16 \: cm}}

Additional information:

  • Volume of cone = ¹/₃ π r² h
  • TSA of cone = π r² + π r l = π r(r + l)
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