Question

Please help!

Answer 1

Answer:

Question 1 )

given ,

height of cylinder = 9 cm

diameter of cylinder = 10 cm

$\dashrightarrow \: radius = \frac{10}{5} \: cm$

now ,

$Volume \: of \: cylinder = \pi \: r {}^{2} h \\ \\ substitutng \: the \: values \: of \: h \: and \: r \: \\ \\ \dashrightarrow \: \pi \: \times (\frac{10}{2} ) {}^{2} \times 9 \\ \\ \dashrightarrow \: \pi \: \times 25 \times 9 \\ \\ \dashrightarrow \: 225\pi \: cm {}^{3}$

therefore ,

option (C) is correct.

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Question - 2 )

dimensions of the rectangular prism are 2 × 3 × 4

$Lateral \: surface \: area = 2h(l + b) \\ \\ \dashrightarrow \: 2 \times 3(4 + 2) \\ \\ \dashrightarrow \: 6(6) \\ \\ \dashrightarrow \: 36 \: cm {}^{2}$

hope helpful :D

Answer 2

The volume of the cylinder is 225 $\rm cm^3$  and the lateral surface area of the rectangular prism is 36 square cm.

It is given that the radius of the cylinder is 10 cm and height is 9 cm.

It is required to find the volume of the cylinder.

What is volume?

It is defined as a three-dimensional space enclosed by an object or thing.

We know the volume of a cylinder given by:

$\rm V = \pi r^2 h$

We have diameter = 10 cm

Radius r = 10/2 = 5 cm

and height h = 9 cm

Volume will be:

$\rm V= \pi \times5^2 \times 9$

V = 225π cubic cm

For the lateral surface area = 2h(l+b)

= 2×3(4+2)

= 36 square cm

Thus, the volume of the cylinder is 225 $\rm cm^3$  and the lateral surface area of the rectangular prism is 36 square cm.

Learn more about the volume here:

brainly.com/question/16788902