An open metallic bucket is in the shape of a frustum of a cone, mounted on a hollow cylindrical base made of the same metallic sheet. The surface area of the metallic sheet used is equal to curved surface area of frustum of a cone + area of circular base + curved surface area of cylinder. Is the following statement true or false and justify your answer
Solution:
The figure for the given statement will be
As the area of top of frustum, base of frustum and top of cylinder is not counted no metal sheet is used
The area will be curved surface area of frustum of a cone + area of circular base + curved surface area of cylinder
Therefore, the statement is true.
✦ Try This: Calculate the curved surface area of a frustum cone given below :
The formula to find the curved surface area of a frustum cone = π(R + r)l
From the figure
r = 1 in
R = 3 in
l = 10 in
Substituting the values
Curved surface area of a frustum cone = π(3 + 1)10
= π(4) 10
= 40π
= 40 × 3.14
= 125.6 in²
Therefore, the curved surface area of a frustum cone is 125.6 in².
☛ Also Check: NCERT Solutions for Class 10 Maths Chapter 13
NCERT Exemplar Class 10 Maths Exercise 12.2 Problem 8
An open metallic bucket is in the shape of a frustum of a cone, mounted on a hollow cylindrical base made of the same metallic sheet. The surface area of the metallic sheet used is equal to curved surface area of frustum of a cone + area of circular base + curved surface area of cylinder. Is the following statement true or false and justify your answer
Summary:
The statement “An open metallic bucket is in the shape of a frustum of a cone, mounted on a hollow cylindrical base made of the same metallic sheet. The surface area of the metallic sheet used is equal to the curved surface area of frustum of a cone + area of circular base + curved surface area of cylinder” is true
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