Adv
SanuByahut
  • 0
Newbie

The radii of circular bases of a frustum of a right circular cone are 12 cm and 3 cm and the height is 12 cm. Find the total surface area and volume of frustum.

  • 0

In this question we have to find the total surface
area and volume of frustum given that the radii of
circular bases of a frustum of a right circular cone
are 12 cm and 3 cm and the height is 12 cm.

This question is from r d sharma class 10 maths.
I found this question while doing mensuration of
class 10.
I need help in getting the solution.

Share

1 Answer

  1. Given the height of frustum cone = 12 cm

    Radii of a frustum cone are 12 cm and 3 cm

    So, r1 = 12 cm; r2 = 3 cm

    Let slant height of the frustum cone be ‘L’

    Then, we know that

    L = 15 cm

    Now, the total surface area of frustum of a cone = π (r1 + r2) x L + π r12 + π r22

    = π (12 + 3)15 + π122 + π32

    Thus, total surface area of the frustum = 378 π cm2

    Next,

    Volume of frustum cone = 1/3 π(r22 + r12 + r1 r2 )h

    = 1/3 π(122 + 32 + 12 × 3) × 12 = 756π cm3

    Therefore, the volume of the frustum cone = 756 π cm3

     

    • 0
Leave an answer

Leave an answer

Browse

Choose from here the video type.

Put Video ID here: https://www.youtube.com/watch?v=sdUUx5FdySs Ex: "sdUUx5FdySs".

Captcha Click on image to update the captcha.

Related Questions