1.

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

Answer»

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{<klux>22</klux>}{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

Hope you understood, if yes, then plz don't forget to mark my answer as the brainliest.


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