Let the radius of the earth be R and the radius of the moon be r
Diameter of the moon = \(\frac{1}{4}\) × diameter of the earth
The radius of the moon = \(\frac{1}{4}\) × radius of the earth
r = \(\frac{1}{4}\) × R
r = \(\frac{R}{4}\)
The volume of the earth = \(\frac{4}{3}\pi\) R3
The volume of the moon = \(\frac{4}{3}\pi\) r3
= \(\frac{4}{3}\pi\) \((\frac{R}{4})^3\)
= \(\frac{1}{64} ×\frac{ 4}{3}\)\(\pi\) R3
\(⇒\) The volume of the moon = \(\frac{1}{64}\)× Volume of the earth
Therefore, the volume of the moon is \(\frac{1}{64}\) times the volume of the earth.
List-I | List-II | ||
(A) | Volume of cone | (I) | \(\frac{1}{3}\pi h(r_1^2+r_2^2+r_1r_2)\) |
(B) | Volume of sphere | (II) | \(\frac{1}{3}\pi r^2h\) |
(C) | Volume of Frustum | (III) | \(\pi r^2h\) |
(D) | Volume of cylinder | (IV) | \(\frac{4}{3}\pi r^3\) |
Use these adverbs to fill in the blanks in the sentences below.
awfully sorrowfully completely loftily carefully differently quickly nonchalantly
(i) The report must be read ________ so that performance can be improved.
(ii) At the interview, Sameer answered our questions _________, shrugging his shoulders.
(iii) We all behave _________ when we are tired or hungry.
(iv) The teacher shook her head ________ when Ravi lied to her.
(v) I ________ forgot about it.
(vi) When I complimented Revathi on her success, she just smiled ________ and turned away.
(vii) The President of the Company is ________ busy and will not be able to meet you.
(viii) I finished my work ________ so that I could go out to play