Find the cost of the tin for making the container.

A cylindrical container is to be made of tin sheet. The height of the container is 1 m and its diameter is 70 cm. If the container is open at the top and the tin sheet costs Rs 300 per m2, find the cost of the tin for making the container.

Solution:

Height of container opened at the top (h) = 1 m = 100 cm
and diameter = 70 cm
∴Radius (r) = \\ \frac { 70 }{ 2 } = 35 cm
∴Total surface area = 2πrh + πr2

ML Aggarwal Class 10 Solutions for ICSE Maths Chapter 17 Mensuration Chapter Test Q1.1

A cylinder of maximum volume is cut out from a wooden cuboid of length 30 cm and cross-section of square of side 14 cm. Find the volume of the cylinder and the volume of wood wasted.

Solution:

Dimensions of the wooden cuboid = 30 cm × 14 cm × 14 cm
Volume = 30 × 14 × 14 = 5880 cm3

ML Aggarwal Class 10 Solutions for ICSE Maths Chapter 17 Mensuration Chapter Test Q2.1

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