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The maximum capacity of a glass box is 1900cm^3. A cylindrical cup of radius 4cm and height 10cm is filled to the top with water. The water is then poured into the rectangular container. How many full cups are needed to fill the box with water completely?

First, draw a diagram of the information given, making sure to label any capacities and dimensions. Now read the question again and find what it’s asking for, which is how many full cylindrical cups can f...

Answered by Waliyyah A. Maths tutor
1184 Views

There is a quarter circle with radius 8cm, what is the area of the quarter circle. The answer should be given in terms of pi, units are cm^2.

The area of a circle is given by the equation: A = pir2 where r is the radiusThis means the area of the quarter circle is just 1/4th the area of the total circle.Therefore the a...

Answered by Shrey C. Maths tutor
6035 Views

I don't fully understand the purpose of integration. Could you please explain it to me?

I have written "..." where I imagine the student is replying. I have then provided prompts assuming that the student did not come up with the answer straight away. The scenario could be very...

Answered by Rebecca L. Maths tutor
2261 Views

Integrate (sin(2x) + e^(2x+3))dx

1/2cos(2x) +1/2e^(2x+3) + C

Answered by Hazel T. Maths tutor
2682 Views

Asha and Lucy sell pencils. Asha sold 7 boxes, and 22 singles. Lucy sold 5 boxes, and 2 singles. Given Asha sells twice as many pencils as Lucy, work out how many questions are in each box.

Asha: 7 boxes, 22 singlesLucy: 5 boxes, 2 singlesAsha, 2x as many as Lucy
A = 2(5b +2) = 10b + 4L= 5b + 210b+4=7b+223b=18b=6

Answered by Tara E. Maths tutor
3221 Views

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