Question

1.A diameter of a sphere is measured to be 5.36 in. Find the radius of the spheres centimetres

2. The speed of light is about 3.00×10⁸m/s. Convert this figure to miles per hour

3. A certain car has a fuel efficiency of 25.0 miles per gallon. Express this efficiency in kilometers per liter​

Answer 1

Question 1:

`{ \tt{1 \: in = 2.54 \: cm}} \\ { \tt{5.36 \: in = (5.36 * 2.54) \: cm}} \\ { \tt{ diameter= 13.6144 \: cm}} \\ \\ { \tt{radius = ( (1)/(2) * 13.6144)}} \\ \\ { \tt{radius = 6.8072 \: cm}}`

Question 2:

`{ \tt{ \frac{3.00 * {10}^(8) \: m}{1 \: s} = \frac{( (1)/(1609)) * 3.00 * {10}^(8) \: mi }{( (1)/(3600) ) \: h} }} \\ \\ = { \tt{(1.86 * {10}^(5)) * 3600 }} \\ \\ = { \tt{ 6.71 * {10}^(8) \: mi {h}^( - 1) }}`

Question 3;

`{ \tt{ (25.0 \: mi)/(1 \: ) = (1.609 * 25.0 \: km)/(3.785 \: l) }} \\ \\ { \tt{ = 10.627 \: km {l}^( - 1) }}`