(i) Radius of sphere = 7 cm
Volume of sphere =\(\frac{4}{3}\pi r^3\)
= \(\frac{4}{3}\) × \(\frac{22}{7}\) × 7 cm × 7 cm × 7 cm
\(= \frac{4312}{3}\) cm3
= 1437.33 cm3
Therefore, the volume of the sphere is 1437 cm3 .
(ii) Radius of sphere = 0.63 m
Volume of sphere =\(\frac{4}{3}\pi r^3\)
= \(\frac{4}{3}\) × \(\frac{22}{7}\) × 0.63 m × 0.63 m × 0.63 m
= 1.047816 m3
= 1.05 m3 (approx.)
Therefore, the volume of the sphere is 1.05 m3 (approximately).
Factorise each of the following:
(i) 27y 3 + 125z 3
(ii) 64m3 – 343n 3
[ Hint : See Question 9. ]
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