EXAMPLE 14
A godown building is in the form. The vertical cross-
section parallel to the width side of the building is a rectangle 7 m x 3 m, mounted by a semi-
circle of radius 3.5 m. The inner measurements of the cuboidal portion of the building are
10 m x 7 m x 3 m. Find the volume of the godown and the total interior surface area excluding
the floor (base). (Take pie = 22/7)
Answers
Answer:
10 m x 7 m x 3 m.
Take pie = 22/7
Step-by-step explanation:
section parallel to the width side of the building is a rectangle 7 m x 3 m, mounted by a semi-
circle of radius 3.5 m. The inner measurements of the cuboidal portion of the building
Question ⤵️
EXAMPLE 14
A godown building is in the form. The vertical cross-
section parallel to the width side of the building is a rectangle 7 m x 3 m, mounted by a semi-
circle of radius 3.5 m. The inner measurements of the cuboidal portion of the building are
10 m x 7 m x 3 m. Find the volume of the godown and the total interior surface area excluding
the floor (base). (Take pie = 22/7)
Answer ⤵️
Now,
Volume of the godown -
= Volume of cuboid + volume of semi-cylindrical part
= lbh+(πr^2)L => Volume of half cylinder
= 101×1×3+22/7×7^2/2^2×10/2
= 210+192.5=> 402.5 m^3
Interior surface area = surface area of side-walls + surface area of cylindrical roof
= 2(3×10+3×7)+2πr×L/2
= 102+2/2×22/7×7/2×10
=> 212 m^2 ✔️✔️✔️