Question

find the volume, the curved surface area and total surface area of a cone, given that height = 24cm and slant height = 25cm​

Answer 1

Answer:

1) 1232 cm^3

2) 550 cm^2

3) 704 cm^2

Step-by-step explanation:

(Slant height)^2 = (height)^2 + (radius)^2

=> 25*25 = 24*24 + r^2

=> r^2 = 625 - 576 = 49

=> r = 7

1) Volume of cone = (1/3)*pi*r^2*h

=>     $\frac{22}{7}*\frac{24*7*7}{3}$

=>     22*8*7

=>     1232 cm^2

2) Curved surface area of cone = pi*r*l [ Where l is slant height]

=>     $\frac{22}{7} *7*25$

=>     22*25

=>     550 cm^2

3) Total surface area of a cone = Curved Surface Area + Area of circle

=> pi*r*l + pi*r*r

=> pi*r*(l+r)

=>     $\frac{22}{7}*7*(25+7)$

=>      22*32

=>      704 cm^2

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