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प्रश्न
The circumference of the front wheel of a cart is 3 m long and that of the back wheel is 4 m long. What is the distance travelled by the cart, when the front wheel makes five more revolutions than the rear wheel?
उत्तर
Given, circumference of front wheel = 3 m
Now, distance covered by front wheel of the cart in 1 revolution = Circumference of front wheel.
... Distance covered by front wheel in 5 revolutions = 3 × 5 = 15 m
Hence, the distance covered by the cart is 15 m.
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Assertion (A)
If the volumes of two spheres are in the ratio 27 : 8, then their surface areas are in the ratio 3 : 2.
Reason (R)
Volume of a sphere `=4/3pi"R"^3`
Surface area of a sphere = 4πR2
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