Peter bought some pens for $72. On checking, he found that 8 pens were defective. He sold the remaining at 30% above the cost price and made a profit of $16.40. How many dozen of pens did he buy?
Answers
Answer:
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Step-by-step explanation:
answer:
volume of the ball: 1000 c-cmradius of the ball:
r = 10 \Bigg({ \frac{3}{4\pi} }\Bigg)^{ \frac{1}{3} } \: cm \\
Would the surface of the water be 4cm below the top of the tank?
No
Step-by-step explanation:
A glass tank is 25cm long, 20cm wide, 30cm high and contains water. The surface of the water is 5 cm below the top of the tank.
Water tank is in the shape of cuboid:
Volume of cuboid:
l \times b \times h \\ \\
After a solid metal spherical ball B1 has carefully been placed into the tank, the surface of the water is 3cm below the top of the tank.
Change in height of water level after placing the spherical ball in it = 2 cm
Volume of water raised = Volume of spherical Ball
10.1) Calculate the volume of the ball
answer:
= 25 \times 20 \times 2 \\ \\ = 25 \times 40 \\ \\ volume \: of \: ball B1= 1000 \: {cm}^{3} \\
10.2) Calculate the radius of the ball. Leave your answer in terms of \pi and a surd if necessary.
answer:
\frac{4}{3} \pi {r}^{3} = 1000 \\ \\ {r}^{3} = \frac{1000 \times 3}{4\pi} \\ \\ r = 10 \Bigg({ \frac{3}{4\pi} }\Bigg)^{ \frac{1}{3} } \: cm \\