First, we need to calculate the area of the circular top of the tank where the rain is collected. The formula for the area (A) of a circle is πr², where r is the radius of the circle.

In this case, the radius (r) is 0.5 meters. So, the area is:

A = π(0.5 m)² = 0.785 square meters.

Next, we need to calculate the volume of the rainwater collected. The volume (V) is the area of the circle multiplied by the height of the rainwater, which is the amount of rain that fell.

The amount of rain that fell is 2 cm, which is 0.02 meters (since 1 meter = 100 cm). So, the volume in cubic meters is:

V = 0.785 square meters x 0.02 meters = 0.0157 cubic meters.

Finally, we need to convert this volume to liters. 1 cubic meter is equivalent to 1,000 liters. So, the volume in liters is:

0.0157 cubic meters x 1,000 = 15.7 liters.

So, the volume of rainwater collected in the tank is approximately 16 liters to 2 significant figures.

Question

First, we need to calculate the area of the circular top of the tank where the rain is collected. The formula for the area (A) of a circle is πr², where r is the radius of the circle.

In this case, the radius (r) is 0.5 meters. So, the area is:

A = π(0.5 m)² = 0.785 square meters.

Next, we need to calculate the volume of the rainwater collected. The volume (V) is the area of the circle multiplied by the height of the rainwater, which is the amount of rain that fell.

The amount of rain that fell is 2 cm, which is 0.02 meters (since 1 meter = 100 cm). So, the volume in cubic meters is:

V = 0.785 square meters x 0.02 meters = 0.0157 cubic meters.

Finally, we need to convert this volume to liters. 1 cubic meter is equivalent to 1,000 liters. So, the volume in liters is:

0.0157 cubic meters x 1,000 = 15.7 liters.

So, the volume of rainwater collected in the tank is approximately 16 liters to 2 significant figures.

Knowee AI · Accepted Answer

First, we need to calculate the area of the circular top of the tank where the rain is collected. The formula for the area (A) of a circle is πr², where r is the radius of the circle.

In this case, the radius (r) is 0.5 meters. So, the area is:

A = π(0.5 m)² = 0.785 square meters.

Next, we need to calculate the volume of the rainwater collected. The volume (V) is the area of the circle multiplied by the height of the rainwater, which is the amount of rain that fell.

The amount of rain that fell is 2 cm, which is 0.02 meters (since 1 meter = 100 cm). So, the volume in cubic meters is:

V = 0.785 square meters x 0.02 meters = 0.0157 cubic meters.

Finally, we need to convert this volume to liters. 1 cubic meter is equivalent to 1,000 liters. So, the volume in liters is:

0.0157 cubic meters x 1,000 = 15.7 liters.

So, the volume of rainwater collected in the tank is approximately 16 liters to 2 significant figures.

On a particular day your backyard receives 2cm of rain.You have a circular rainwater tank with an open top, with radius 0.5 metres.What volume of rain is collected, in litres?Give your answer to 2 significant figures.

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