Question

The diameters of the ends of a frustum of a cone are 32 cm and 20 cm. If its slant height is 10 cm, then its lateral surface area is
(a)321 π cm²
(b)300 π cm²
(c)260 π cm²
(d)250 π cm²

Answer 1

Answer:

The lateral Surface area of of a frustum of a cone is  260 π cm².

Among the given options option (c) 260 π cm²  is the correct answer.

Step-by-step explanation:

Given :  

Diameter of top of a frustum of a cone = 32 cm

Radius of top of a frustum of a cone ,R = 32/2 cm = 16 cm

Diameter of bottom of a frustum of a cone = 20 cm

Radius of bottom top of a frustum of a cone ,r = 20/2 = 10 cm

Slant Height of the bucket (l) = 10 cm

 

Lateral Surface area of of a frustum of a cone , S1 = π(R+ r)l  

S1 = π(16 + 10) 10

S1 = π× 26 × 10

S1= 260 π  cm²

Lateral Surface area of of a frustum of a cone = 260 π cm²

Hence, the lateral Surface area of of a frustum of a cone is  260 π cm².

HOPE THIS ANSWER WILL HELP YOU….

 

 

Answer 2

HOLA MATE

OPTION C IS CORRECT