Q : 7    The diameter of the moon is approximately one fourth of the diameter of the earth. Find the ratio of their surface areas.
 

Answers (1)

Let diameter of Moon be d_m and diameter of Earth be d_e

We know,

The surface area of a sphere of radius r = 4\pi r^2

\therefore The ratio of their surface areas = \frac{Surface\ area\ of\ moon}{Surface\ area\ of\ Earth}

= \frac{4\pi \left (\frac{d_m}{2} \right )^2}{4\pi \left (\frac{d_e}{2} \right )^2}

= \frac{d_m^2}{d_e^2}

=\left ( \frac{\frac{1}{4}d_e}{d_e} \right )^2

= \frac{1}{16}

Therefore, the ratio of the surface areas of the moon and earth is = 1:16 

Preparation Products

JEE Main Rank Booster 2021

This course will help student to be better prepared and study in the right direction for JEE Main..

₹ 13999/- ₹ 9999/-
Buy Now
Rank Booster NEET 2021

This course will help student to be better prepared and study in the right direction for NEET..

₹ 13999/- ₹ 9999/-
Buy Now
Knockout JEE Main April 2021 (Easy Installments)

An exhaustive E-learning program for the complete preparation of JEE Main..

₹ 4999/-
Buy Now
Knockout NEET May 2021

An exhaustive E-learning program for the complete preparation of NEET..

₹ 22999/- ₹ 14999/-
Buy Now
Knockout NEET May 2022

An exhaustive E-learning program for the complete preparation of NEET..

₹ 34999/- ₹ 24999/-
Buy Now
Exams
Articles
Questions