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51.

What is the formula for the volume of a right circular cone?(a) \(\frac {1}{3}\)πr^3h(b) \(\frac {1}{3}\)πr^2h(c) \(\frac {1}{2}\)πr^2h(d) \(\frac {1}{2}\)πr^3hThe question was posed to me by my school principal while I was bunking the class.I'd like to ask this question from Surface Area and Volume of Different Solid Shapes in division Surface Area and Volumes of Mathematics – Class 10

Answer»

The CORRECT answer is (b) \(\frac {1}{3}\)πr^2h

Easiest explanation: VOLUME of RIGHT circular CONE = \(\frac {1}{3}\)πr^2h

Where ‘r’ is the radius of the base and ‘H’ is the height of the right circular cone.

52.

What is the formula for the curved surface area of a rectangular circular cylinder?(a) 2πr^2h(b) 2πrh(c) 2π(r + h)(d) 2π(rh)I got this question during an online exam.The above asked question is from Surface Area and Volume of Different Solid Shapes topic in portion Surface Area and Volumes of Mathematics – Class 10

Answer»

The correct option is (B) 2πrh

To ELABORATE: The curved surface area of a rectangular CIRCULAR cylinder = 2πrh

Where ‘r’ is the RADIUS of the base and ‘h’ is the height of the right circular cylinder.

53.

A right circular cone has a radius of 7 cm and a height of 24 cm. Find the area of the sheet required to make 7 such cones.(a) 3846.5 cm^2(b) 1052 cm^2(c) 1153.4 cm^2(d) 3172 cm^2This question was addressed to me in my homework.My enquiry is from Surface Area and Volume of Different Solid Shapes topic in portion Surface Area and Volumes of Mathematics – Class 10

Answer»

The correct choice is (a) 3846.5 cm^2

Best explanation: Slant height = \(\sqrt {h^2+r^2}\)

= \(\sqrt {24^2+7^2}\)

= \(\sqrt {576+49}\)

= 25 cm

Area required to make 7 such CONES = 7 × Lateral surface area of a right circular CONE

= 7 × (πrl)

= 7 × 3.14 × 7 × 25

= 3846.5 cm^2