JIPMAT 2023 (QA) - Given below are two statements:Statement (I): The volume of a right circular cylinder of base radius 7 cm and height 10 cm is 1540 cm3 (Take π = 22/7).Statement (II): Total surface area of the cylinder having radius of base 14 cm and height 30 cm, is 3872 cm2 (Take π= 22/7).In light of the above statements, choose the most appropriate answer from the options given below. | PYQs + Solutions

JIPMAT 2023

Geometry

Solids

Easy

Given below are two statements:
Statement (I): The volume of a right circular cylinder of base radius 7 cm and height 10 cm is 1540 cm³ (Take π = 22/7).
Statement (II): Total surface area of the cylinder having radius of base 14 cm and height 30 cm, is 3872 cm² (Take π= 22/7).
In light of the above statements, choose the most appropriate answer from the options given below.

Both Statement (I) and Statement (II) are true.

Both Statement (I) and Statement (II) are false.

Statement (I) is true but Statement (II) is false.

Statement (I) is false but Statement (II) is true.

Correct Option: 1

Statement I:

\newline

Volume of cylinder =

πr^2h

= \frac{22}{7} × 7^2 × 10

= \frac{22}{7} × 49 × 10

= 1540

cm³ ✓

Statement II:

\newline

Total surface area =

2πr^2 + 2πrh

= 2\frac{22}{7}(14^2 + 14 × 30)

= \frac{44}{7}(196 + 420)

= \frac{44}{7}(616)

= 3872

cm² ✓

Therefore, both statements are true.