Answer:
2.05 inches
Step-by-step explanation:
V = 4/3 x πr³
36=4πr³/3
36x3= 4πr³
108= 4πr³
108/4 = πr³
27= πr^3
27/π =r³
r=
r= 2.048in
round off to 2.05in
<u>PROOF</u>
V = 4÷3 x πr³
V= 4/3 x π(2.05)³
V=4/3 x π8.6
V=4×π×8.6/3
V=108/3
V=36in³
Therefore: radius= <u>2.05 inches</u>
Step-by-step explanation:
Given, the face of a clock is divided into 12 equal parts.
Angle of each part = = 30°
(i) When one hand points at 2 and the other points at 4, this is can be divided into two parts, 2 to 3 and 3 to 4.
The angle formed = 2 (30) = 60°
Option (i) is correct
(ii) The circumference of the clock is ,
Circumference of circle = 2πr,
where r is the radius = 6 and π = 3.14.
Substituting the values in the formula, we get
Circumference of circle = 37.68.
Option (ii) is wrong.
(iii) With one hand at 5 and the other at 10, this is 5 parts
The angle formed= 30(5) = 150°.
The arc length =(37.68) = 15.7
Option (iii) is correct
(iv) When one hand points at 1 and the other points at 9, this is 4 parts,
30(4) = 120°. T
Option (iv) is wrong
(v) The length of the minor arc from 11 to 2, this is 3 parts
3(30) = 90°
minor arc from 7 to 10 is 3(30) = 90°
Option (v) is correct