Things I Need To Know

Question 1

What is the formula for the volume of a sphere?

Answer 1

Volume = (4/3) × π × radius³

The volume of a sphere is calculated using the radius raised to the third power.

Question 2

What is the formula for the volume of a cone?

Answer 2

Volume = (1/3) × π × radius² × height

The volume of a cone is one-third of the base area multiplied by the height.

Question 3

What is the formula for the surface area of a sphere?

Answer 3

Surface Area = 4 × π × radius²

The surface area of a sphere is calculated by multiplying four times the area of a circle with the same radius.

Question 4

What is the formula for the curved surface area of a cone?

Answer 4

Curved Surface Area = π × radius × length

This formula calculates the area of the cone’s lateral surface.

Question 5

Fill in the blank: The volume of a sphere is given by _______.

Answer 5

(4/3) × π × radius³

Question 6

Fill in the blank: The surface area of a sphere is calculated using the formula _______.

Answer 6

4 × π × radius²

Question 7

True or False: The volume of a cone is equal to the volume of a cylinder with the same base and height.

Answer 7

True

The volume of a cone is one-third that of a cylinder, which has the same base area and height.

Question 8

What does the ‘length’ refer to in the curved surface area formula of a cone?

Answer 8

The slant height of the cone

The length is the distance from the base to the apex along the surface.

Question 9

What is the formula for the volume of a cylinder?

Answer 9

I x radius x radius x height

Question 10

What does ‘I’ represent in the volume of a cylinder formula?

Answer 10

1u7h

Question 11

What is the formula for the volume of a rectangular based pyramid?

Answer 11

1/3 x length x width x height

Question 12

What are the three dimensions needed to calculate the volume of a rectangular based pyramid?

Answer 12

• height
• length
• width

Question 13

What is the sine value at 0°?

Answer 13

0

Question 14

What is the sine value at 30°?

Answer 14

1/2

Question 15

What is the sine value at 45°?

Answer 15

√2/2

Question 16

What is the sine value at 60°?

Answer 16

√3/2

Question 17

What is the sine value at 90°?

Answer 17

1

Question 18

What is the cosine value at 0°?

Answer 18

1

Question 19

What is the cosine value at 30°?

Answer 19

√3/2

Question 20

What is the cosine value at 45°?

Answer 20

√2/2

Question 21

What is the cosine value at 60°?

Answer 21

1/2

Question 22

What is the cosine value at 90°?

Answer 22

0

Question 23

What is the tangent value at 0°?

Answer 23

0

Question 24

What is the tangent value at 30°?

Answer 24

1/√3

Question 25

What is the tangent value at 45°?

Answer 25

1

Question 26

What is the tangent value at 60°?

Answer 26

√3

Question 27

What is the tangent value at 90°?

Answer 27

not defined

Question 28

What is the formula for density?

Answer 28

density = mass/volume

Question 29

What is the formula for pressure?

Answer 29

pressure = force/area

Question 30

What are the components of density?

Answer 30

* mass * volume

Question 31

What are the components of pressure?

Answer 31

* force * area