Question

1. The radius of the circular base of a cylinder tank is 0.7 m and its height is 5 m. What is
its surface area??

A. 20.5572 sqm
B. 22.5072 sqm
C. 25.0572 sqm
D. 27.0552

2. An ice cream cone has a radius of 7 cm and a slant height of 10 cm. What is its surface
area?

A. 337.66 sq cm
B.373.66 sq cm
C.376.36 sq cm
D. 376.66 sq cm


help, it's just 1-3 :( with solution please :(

3. A cubical wooden box has a surface area of 600 square cm. What is the measurement
of each
edge?

B. 6 cm
C. 10 cm
A. 5 cm
D. 100 cm
​

Answer 1

Answer:

C)

B)

C)

Step-by-step explanation:

Question-1:

recall the surface area formula of cylinder

$\displaystyle A _{S} = 2\pi r(h + r)$

given that,h=5 and r=0.7

substitute:

$\displaystyle A _{S} = 2\pi (0.7)(5 + 0.7)$

simplify parentheses:

$\displaystyle A _{S} = 2\pi (0.7)(5 .7)$

simplify multiplication:

$\displaystyle A _{S} =25.0572 sqm$

hence, our answer is C

Question-2:

remember the surface area formula of cone

$\displaystyle A _{S} = \pi r(r + s)$

given that,r=7 and s=10

substitute:

$\displaystyle A _{S} = \pi (7)(7+ 10)$

simplify parentheses:

$\displaystyle A _{S} = \pi (7)(17)$

simplify multiplication:

$\displaystyle A _{S} =373.66sqcm$

hence, our answer is B

Question-3:

now for the question-3 we need a little bit understanding

remember the surface area formula of cube

$\displaystyle A _{S} =6 {a}^{2}$

we are given that,$A_S=600$ Thus

substitute:

$\displaystyle 6 {a}^{2} = 600$

divide both sides by 6:

$\displaystyle {a}^{2} = 100$

square root both sides:

$\displaystyle {a}^{} = 10$

hence, the measurement of each

edge is 10 cm therefore our answer is C)