Question

curved surface area of a cone is 308cm²and it's slant height is 14cm find 1.radius of the base 2.total surface area of the cone​

Answer 1

Step-by-step explanation:

Given that

curved surface area of cone(a) is 308 cm sq.

slant height(h) is 14cm

To find

radius of the base and total surface area of cone

$curved \: surface \: area = \pi \times r \times h \\ 308 = \pi \times r \times 14$

$r = 7cm$

$total \: surface \: area = \pi \times r(h + r)$

$= (22 \times 21)$

$total \: surface \: area = 462 {cm}^{2}$

thus radius is 6cm

thus radius is 6cmand total surface area is 462 sq cm.

Answer 2

Answer:

(i) Radius of the base = 7 cm.

(ii) Total Surface Area of Cone = 462 cm^2.

Step-by-step explanation:

Given :

=> Curved Surface Area of Cone = 308 cm^2.

=> Slant Height of Cone = 14 cm.

To Find :

(i) Radius of the base.

(ii) Total Surface Area of the cone.

Solution :

(i)

=> Curved Surface Area of Cone = πrl

=> 308 cm^2 = 22/7 × r × 14

=> r = (308×7)/(22×14)

=> r = 7 cm.

Therefore Radius of the base is 7 cm.

(ii)

=> Total Surface Area of Cone = πr(r+l)

=> (22/7) × (7) × (7+14)

=> 22 × 21

=> 462 cm^2

Therefore Total Surface Area of given Cone is 462 cm^2.