Question 1

1. Which is the correct equation for the volume of a rectangular-based Cylinder?

Accepted Answer

v= $\pi r^2$ h

Answer

v= $\pi r^2$

Answer

v=hr

Answer

v=r $\pi r^2$

Question 2

What is the Volume of the pyramid in in $\pi r^2$ ?

Accepted Answer

18in^3

Answer

108in^3

Answer

54in^3

Answer

36in^3

Question 3

3. Which is the correct equation for the volume of a cone?

Accepted Answer

v=1/3( $\pi r^2$ )

Answer

v=( $\pi r^2$ )

Answer

v=1/3.h.r

Question 4

A cone has radius 5cm and height 11cm. Work out the volume of the cone to 2 decimal places( = 3.14).

Accepted Answer

287.83cm^3

Answer

200cm^3

Answer

222cm^3

Question 5

5. What is the Volume of the sphere with a diameter of 8cm? Leave your answer in terms of Pi.

Accepted Answer

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Answer

https://uploads.quizalize.com/d248b681-2079-4d25-ab1f-0b27bad24f66/question/f7cbaca403547d6229a7a00422b0d0d5ac1e7c8e.png

Answer

https://uploads.quizalize.com/d248b681-2079-4d25-ab1f-0b27bad24f66/question/74d60a48dbdfe431ad425f97bd88fa17e9679cb7.png

Question 6

6. A right triangular pyramid has a 12-meter height and a base with legs that are 3 meters and 4 meters long. Find the volume of the triangular pyramid.

Accepted Answer

24 m^3

Answer

144m^3

Answer

48 m^3

Answer

72 m^3

Question 7

7. Which value gives the curved surface area of the cone with a diameter of 8cm, a height of 3cm, and a slope height of 5cm? Give the answer to 1 decimal place(=3.14).

Accepted Answer

62.8cm^2

Answer

37.7 cm^2

Answer

75.4 cm^2

Answer

125.7 cm^2

Question 8

8. A 12-inch highway traffic cone is a “truncated cone”. That is, a small cone cut off at the top. Calculate the lateral area of the truncated cone. Round your answer to the nearest tenth.

Accepted Answer

198 in^2

Answer

187 in^2

Answer

24.9 in^2

Answer

26.5 in^2

Question 9

Solve for x and y. 5x+2y=14 , 3x-2y=18

Accepted Answer

x=4, y=-3

Answer

x= 4, y=3

Answer

x= -4, y= 3

Answer

x= -4, y=-3

Question 10

Solve for x and y

4x-3y=17

3x-2y=12

Accepted Answer

x=2, y=-3

Answer

x= -2, y= 3

Answer

x=2, y=5

Answer

x=5, y=-2

Question 11

Solve for x and y.

x+y=3 and y=2x-3.

Accepted Answer

x=2, y=1

Answer

x=1, y=-2

Answer

x=3, y= -2

Answer

x=2, y=-3

Question 12

Solve for p and q.

4p+q=-6

2p+q=-2

Accepted Answer

p=-2, q=2

Answer

p= -1, q= -1.5

Answer

p=2, q=-2

Answer

p=-1.5, q=-1

Question 13

Solve for x and y.

x+y=-4

4x-y=-21

Accepted Answer

x=-5, y=1

Answer

x=1, y=-5

Answer

x=5, y=-4

Answer

x=-4, y=5

Question 14

Solve for a and b

5a+2b=35

4a+3b=35

Accepted Answer

a=5, b=5

Answer

a=- 5, b= -5

Answer

a=7, b= 5

Answer

a=5, b=7

Question 15

Solve for x and y

5x+3y=28

x-2y=3

Accepted Answer

x= 5, y=1

Answer

x=1, y=5

Answer

x=1.5, y= 3.5

Answer

x=3.5, y=1.5

Question 16

Solve for p and q

4p+2q=4

3p+2q=3.5

Accepted Answer

p=0.5, q=1

Answer

p=7, q= 0.7

Answer

p=0.7, q= 7

Answer

p= 1, q= 0.5

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